Finding the Third Proportional to 9,876,496 and 14,096,314

Step by Step Solution

1. Step 1: Write the proportion equation
   9,876,496 : 14,096,314 = 14,096,314 : x
2. Step 2: Convert to fraction form
   9,876,496/14,096,314 = 14,096,314/x
3. Step 3: Cross multiply
   9,876,496x = 14,096,314 × 14,096,314
4. Step 4: Simplify right side
   9,876,496x = 198,706,068,386,596
5. Step 5: Solve for x
   x = 198,706,068,386,596/9,876,496
6. Step 6: Final answer
   x = 20,119,085.59