Finding the Third Proportional to 382.50 and 575.50

Step by Step Solution

1. Step 1: Write the proportion equation
   382.50 : 575.50 = 575.50 : x
2. Step 2: Convert to fraction form
   382.50/575.50 = 575.50/x
3. Step 3: Cross multiply
   382.50x = 575.50 × 575.50
4. Step 4: Simplify right side
   382.50x = 331,200.25
5. Step 5: Solve for x
   x = 331,200.25/382.50
6. Step 6: Final answer
   x = 865.88