Finding the Third Proportional to 38,152.50 and 82,326.75

Step by Step Solution

1. Step 1: Write the proportion equation
   38,152.50 : 82,326.75 = 82,326.75 : x
2. Step 2: Convert to fraction form
   38,152.50/82,326.75 = 82,326.75/x
3. Step 3: Cross multiply
   38,152.50x = 82,326.75 × 82,326.75
4. Step 4: Simplify right side
   38,152.50x = 6,777,693,765.56
5. Step 5: Solve for x
   x = 6,777,693,765.56/38,152.50
6. Step 6: Final answer
   x = 177,647.44