Finding the Third Proportional to 9,686,289,689,842 and 13,623,118,359,126

Step by Step Solution

1. Step 1: Write the proportion equation
   9,686,289,689,842 : 13,623,118,359,126 = 13,623,118,359,126 : x
2. Step 2: Convert to fraction form
   9,686,289,689,842/13,623,118,359,126 = 13,623,118,359,126/x
3. Step 3: Cross multiply
   9,686,289,689,842x = 13,623,118,359,126 × 13,623,118,359,126
4. Step 4: Simplify right side
   9,686,289,689,842x = 185,589,353,826,755,862,562,078,720
5. Step 5: Solve for x
   x = 185,589,353,826,755,862,562,078,720/9,686,289,689,842
6. Step 6: Final answer
   x = 19,160,004,477,398.93