Finding the Third Proportional to 39,187.13 and 83,431.69

Step by Step Solution

1. Step 1: Write the proportion equation
   39,187.13 : 83,431.69 = 83,431.69 : x
2. Step 2: Convert to fraction form
   39,187.13/83,431.69 = 83,431.69/x
3. Step 3: Cross multiply
   39,187.13x = 83,431.69 × 83,431.69
4. Step 4: Simplify right side
   39,187.13x = 6,960,846,479.10
5. Step 5: Solve for x
   x = 6,960,846,479.10/39,187.13
6. Step 6: Final answer
   x = 177,630.96