Finding the Third Proportional to 38,959.13 and 83,929.69

Step by Step Solution

1. Step 1: Write the proportion equation
   38,959.13 : 83,929.69 = 83,929.69 : x
2. Step 2: Convert to fraction form
   38,959.13/83,929.69 = 83,929.69/x
3. Step 3: Cross multiply
   38,959.13x = 83,929.69 × 83,929.69
4. Step 4: Simplify right side
   38,959.13x = 7,044,192,443.85
5. Step 5: Solve for x
   x = 7,044,192,443.85/38,959.13
6. Step 6: Final answer
   x = 180,809.82