Finding the Third Proportional to 39,827.32 and 83,140.17

Step by Step Solution

1. Step 1: Write the proportion equation
   39,827.32 : 83,140.17 = 83,140.17 : x
2. Step 2: Convert to fraction form
   39,827.32/83,140.17 = 83,140.17/x
3. Step 3: Cross multiply
   39,827.32x = 83,140.17 × 83,140.17
4. Step 4: Simplify right side
   39,827.32x = 6,912,288,179.40
5. Step 5: Solve for x
   x = 6,912,288,179.40/39,827.32
6. Step 6: Final answer
   x = 173,556.45