Finding the Third Proportional to 38,257.50 and 83,291.25

Step by Step Solution

1. Step 1: Write the proportion equation
   38,257.50 : 83,291.25 = 83,291.25 : x
2. Step 2: Convert to fraction form
   38,257.50/83,291.25 = 83,291.25/x
3. Step 3: Cross multiply
   38,257.50x = 83,291.25 × 83,291.25
4. Step 4: Simplify right side
   38,257.50x = 6,937,432,326.56
5. Step 5: Solve for x
   x = 6,937,432,326.56/38,257.50
6. Step 6: Final answer
   x = 181,335.22