Finding the Third Proportional to 34,562 and 76,495

Step by Step Solution

1. Step 1: Write the proportion equation
   34,562 : 76,495 = 76,495 : x
2. Step 2: Convert to fraction form
   34,562/76,495 = 76,495/x
3. Step 3: Cross multiply
   34,562x = 76,495 × 76,495
4. Step 4: Simplify right side
   34,562x = 5,851,485,025
5. Step 5: Solve for x
   x = 5,851,485,025/34,562
6. Step 6: Final answer
   x = 169,304.01