Finding the Third Proportional to 38,175.32 and 82,203.65

Step by Step Solution

1. Step 1: Write the proportion equation
   38,175.32 : 82,203.65 = 82,203.65 : x
2. Step 2: Convert to fraction form
   38,175.32/82,203.65 = 82,203.65/x
3. Step 3: Cross multiply
   38,175.32x = 82,203.65 × 82,203.65
4. Step 4: Simplify right side
   38,175.32x = 6,757,439,896.71
5. Step 5: Solve for x
   x = 6,757,439,896.71/38,175.32
6. Step 6: Final answer
   x = 177,010.68