Finding the Third Proportional to 27,594 and 59,854.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,594 : 59,854.50 = 59,854.50 : x
2. Step 2: Convert to fraction form
   27,594/59,854.50 = 59,854.50/x
3. Step 3: Cross multiply
   27,594x = 59,854.50 × 59,854.50
4. Step 4: Simplify right side
   27,594x = 3,582,561,170.25
5. Step 5: Solve for x
   x = 3,582,561,170.25/27,594
6. Step 6: Final answer
   x = 129,831.17