Finding the Third Proportional to 9,686,289,689,838 and 13,623,118,359,120

Step by Step Solution

1. Step 1: Write the proportion equation
   9,686,289,689,838 : 13,623,118,359,120 = 13,623,118,359,120 : x
2. Step 2: Convert to fraction form
   9,686,289,689,838/13,623,118,359,120 = 13,623,118,359,120/x
3. Step 3: Cross multiply
   9,686,289,689,838x = 13,623,118,359,120 × 13,623,118,359,120
4. Step 4: Simplify right side
   9,686,289,689,838x = 185,589,353,826,592,413,286,662,144
5. Step 5: Solve for x
   x = 185,589,353,826,592,413,286,662,144/9,686,289,689,838
6. Step 6: Final answer
   x = 19,160,004,477,389.97