Finding the Third Proportional to 763.59 and 1,142.02

Step by Step Solution

1. Step 1: Write the proportion equation
   763.59 : 1,142.02 = 1,142.02 : x
2. Step 2: Convert to fraction form
   763.59/1,142.02 = 1,142.02/x
3. Step 3: Cross multiply
   763.59x = 1,142.02 × 1,142.02
4. Step 4: Simplify right side
   763.59x = 1,304,199.69
5. Step 5: Solve for x
   x = 1,304,199.69/763.59
6. Step 6: Final answer
   x = 1,707.98