Finding the Third Proportional to 65,882 and 98,643

Step by Step Solution

1. Step 1: Write the proportion equation
   65,882 : 98,643 = 98,643 : x
2. Step 2: Convert to fraction form
   65,882/98,643 = 98,643/x
3. Step 3: Cross multiply
   65,882x = 98,643 × 98,643
4. Step 4: Simplify right side
   65,882x = 9,730,441,449
5. Step 5: Solve for x
   x = 9,730,441,449/65,882
6. Step 6: Final answer
   x = 147,694.99