Finding the Third Proportional to 35,515 and 76,565.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,515 : 76,565.50 = 76,565.50 : x
2. Step 2: Convert to fraction form
   35,515/76,565.50 = 76,565.50/x
3. Step 3: Cross multiply
   35,515x = 76,565.50 × 76,565.50
4. Step 4: Simplify right side
   35,515x = 5,862,275,790.25
5. Step 5: Solve for x
   x = 5,862,275,790.25/35,515
6. Step 6: Final answer
   x = 165,064.78