Finding the Third Proportional to 57,565 and 76,513.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,565 : 76,513.50 = 76,513.50 : x
2. Step 2: Convert to fraction form
   57,565/76,513.50 = 76,513.50/x
3. Step 3: Cross multiply
   57,565x = 76,513.50 × 76,513.50
4. Step 4: Simplify right side
   57,565x = 5,854,315,682.25
5. Step 5: Solve for x
   x = 5,854,315,682.25/57,565
6. Step 6: Final answer
   x = 101,699.22