Finding the Third Proportional to 39,649 and 57,984.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,649 : 57,984.50 = 57,984.50 : x
2. Step 2: Convert to fraction form
   39,649/57,984.50 = 57,984.50/x
3. Step 3: Cross multiply
   39,649x = 57,984.50 × 57,984.50
4. Step 4: Simplify right side
   39,649x = 3,362,202,240.25
5. Step 5: Solve for x
   x = 3,362,202,240.25/39,649
6. Step 6: Final answer
   x = 84,799.17