Finding the Third Proportional to 9,686,289,689,840 and 13,623,118,359,123

Step by Step Solution

1. Step 1: Write the proportion equation
   9,686,289,689,840 : 13,623,118,359,123 = 13,623,118,359,123 : x
2. Step 2: Convert to fraction form
   9,686,289,689,840/13,623,118,359,123 = 13,623,118,359,123/x
3. Step 3: Cross multiply
   9,686,289,689,840x = 13,623,118,359,123 × 13,623,118,359,123
4. Step 4: Simplify right side
   9,686,289,689,840x = 185,589,353,826,674,155,104,239,616
5. Step 5: Solve for x
   x = 185,589,353,826,674,155,104,239,616/9,686,289,689,840
6. Step 6: Final answer
   x = 19,160,004,477,394.46