Finding the Third Proportional to 38,639.25 and 80,239.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,639.25 : 80,239.50 = 80,239.50 : x
2. Step 2: Convert to fraction form
   38,639.25/80,239.50 = 80,239.50/x
3. Step 3: Cross multiply
   38,639.25x = 80,239.50 × 80,239.50
4. Step 4: Simplify right side
   38,639.25x = 6,438,377,360.25
5. Step 5: Solve for x
   x = 6,438,377,360.25/38,639.25
6. Step 6: Final answer
   x = 166,627.91