Finding the Third Proportional to 382.31 and 763.69

Step by Step Solution

1. Step 1: Write the proportion equation
   382.31 : 763.69 = 763.69 : x
2. Step 2: Convert to fraction form
   382.31/763.69 = 763.69/x
3. Step 3: Cross multiply
   382.31x = 763.69 × 763.69
4. Step 4: Simplify right side
   382.31x = 583,218.60
5. Step 5: Solve for x
   x = 583,218.60/382.31
6. Step 6: Final answer
   x = 1,525.50