Finding the Third Proportional to 39,802 and 83,700

Step by Step Solution

1. Step 1: Write the proportion equation
   39,802 : 83,700 = 83,700 : x
2. Step 2: Convert to fraction form
   39,802/83,700 = 83,700/x
3. Step 3: Cross multiply
   39,802x = 83,700 × 83,700
4. Step 4: Simplify right side
   39,802x = 7,005,690,000
5. Step 5: Solve for x
   x = 7,005,690,000/39,802
6. Step 6: Final answer
   x = 176,013.52