Finding the Third Proportional to 39,462.75 and 83,854.13

Step by Step Solution

1. Step 1: Write the proportion equation
   39,462.75 : 83,854.13 = 83,854.13 : x
2. Step 2: Convert to fraction form
   39,462.75/83,854.13 = 83,854.13/x
3. Step 3: Cross multiply
   39,462.75x = 83,854.13 × 83,854.13
4. Step 4: Simplify right side
   39,462.75x = 7,031,514,279.52
5. Step 5: Solve for x
   x = 7,031,514,279.52/39,462.75
6. Step 6: Final answer
   x = 178,181.05