Finding the Third Proportional to 38,559 and 57,517.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,559 : 57,517.50 = 57,517.50 : x
2. Step 2: Convert to fraction form
   38,559/57,517.50 = 57,517.50/x
3. Step 3: Cross multiply
   38,559x = 57,517.50 × 57,517.50
4. Step 4: Simplify right side
   38,559x = 3,308,262,806.25
5. Step 5: Solve for x
   x = 3,308,262,806.25/38,559
6. Step 6: Final answer
   x = 85,797.42