Finding the Third Proportional to 57,969 and 89,572.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,969 : 89,572.50 = 89,572.50 : x
2. Step 2: Convert to fraction form
   57,969/89,572.50 = 89,572.50/x
3. Step 3: Cross multiply
   57,969x = 89,572.50 × 89,572.50
4. Step 4: Simplify right side
   57,969x = 8,023,232,756.25
5. Step 5: Solve for x
   x = 8,023,232,756.25/57,969
6. Step 6: Final answer
   x = 138,405.57