Finding the Third Proportional to 59,500 and 95,664

Step by Step Solution

1. Step 1: Write the proportion equation
   59,500 : 95,664 = 95,664 : x
2. Step 2: Convert to fraction form
   59,500/95,664 = 95,664/x
3. Step 3: Cross multiply
   59,500x = 95,664 × 95,664
4. Step 4: Simplify right side
   59,500x = 9,151,600,896
5. Step 5: Solve for x
   x = 9,151,600,896/59,500
6. Step 6: Final answer
   x = 153,808.42