Finding the Third Proportional to 39,657 and 57,993.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,657 : 57,993.50 = 57,993.50 : x
2. Step 2: Convert to fraction form
   39,657/57,993.50 = 57,993.50/x
3. Step 3: Cross multiply
   39,657x = 57,993.50 × 57,993.50
4. Step 4: Simplify right side
   39,657x = 3,363,246,042.25
5. Step 5: Solve for x
   x = 3,363,246,042.25/39,657
6. Step 6: Final answer
   x = 84,808.38