Finding the Third Proportional to 38,909 and 83,002

Step by Step Solution

1. Step 1: Write the proportion equation
   38,909 : 83,002 = 83,002 : x
2. Step 2: Convert to fraction form
   38,909/83,002 = 83,002/x
3. Step 3: Cross multiply
   38,909x = 83,002 × 83,002
4. Step 4: Simplify right side
   38,909x = 6,889,332,004
5. Step 5: Solve for x
   x = 6,889,332,004/38,909
6. Step 6: Final answer
   x = 177,062.68