Finding the Third Proportional to 57,892 and 86,594.75

Step by Step Solution

1. Step 1: Write the proportion equation
   57,892 : 86,594.75 = 86,594.75 : x
2. Step 2: Convert to fraction form
   57,892/86,594.75 = 86,594.75/x
3. Step 3: Cross multiply
   57,892x = 86,594.75 × 86,594.75
4. Step 4: Simplify right side
   57,892x = 7,498,650,727.56
5. Step 5: Solve for x
   x = 7,498,650,727.56/57,892
6. Step 6: Final answer
   x = 129,528.27