Finding the Third Proportional to 59,201.25 and 90,564

Step by Step Solution

1. Step 1: Write the proportion equation
   59,201.25 : 90,564 = 90,564 : x
2. Step 2: Convert to fraction form
   59,201.25/90,564 = 90,564/x
3. Step 3: Cross multiply
   59,201.25x = 90,564 × 90,564
4. Step 4: Simplify right side
   59,201.25x = 8,201,838,096
5. Step 5: Solve for x
   x = 8,201,838,096/59,201.25
6. Step 6: Final answer
   x = 138,541.64