Finding the Third Proportional to 39,647.60 and 83,187.32

Step by Step Solution

1. Step 1: Write the proportion equation
   39,647.60 : 83,187.32 = 83,187.32 : x
2. Step 2: Convert to fraction form
   39,647.60/83,187.32 = 83,187.32/x
3. Step 3: Cross multiply
   39,647.60x = 83,187.32 × 83,187.32
4. Step 4: Simplify right side
   39,647.60x = 6,920,129,610.87
5. Step 5: Solve for x
   x = 6,920,129,610.87/39,647.60
6. Step 6: Final answer
   x = 174,540.94