Finding the Third Proportional to 38,657.75 and 82,377.88

Step by Step Solution

1. Step 1: Write the proportion equation
   38,657.75 : 82,377.88 = 82,377.88 : x
2. Step 2: Convert to fraction form
   38,657.75/82,377.88 = 82,377.88/x
3. Step 3: Cross multiply
   38,657.75x = 82,377.88 × 82,377.88
4. Step 4: Simplify right side
   38,657.75x = 6,786,114,289.52
5. Step 5: Solve for x
   x = 6,786,114,289.52/38,657.75
6. Step 6: Final answer
   x = 175,543.44