Finding the Third Proportional to 38,657.63 and 82,377.75

Step by Step Solution

1. Step 1: Write the proportion equation
   38,657.63 : 82,377.75 = 82,377.75 : x
2. Step 2: Convert to fraction form
   38,657.63/82,377.75 = 82,377.75/x
3. Step 3: Cross multiply
   38,657.63x = 82,377.75 × 82,377.75
4. Step 4: Simplify right side
   38,657.63x = 6,786,093,695.06
5. Step 5: Solve for x
   x = 6,786,093,695.06/38,657.63
6. Step 6: Final answer
   x = 175,543.47