Finding the Third Proportional to 39,505 and 57,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,505 : 57,697.50 = 57,697.50 : x
2. Step 2: Convert to fraction form
   39,505/57,697.50 = 57,697.50/x
3. Step 3: Cross multiply
   39,505x = 57,697.50 × 57,697.50
4. Step 4: Simplify right side
   39,505x = 3,329,001,506.25
5. Step 5: Solve for x
   x = 3,329,001,506.25/39,505
6. Step 6: Final answer
   x = 84,267.85