Finding the Third Proportional to 737.86 and 1,142.30

Step by Step Solution

1. Step 1: Write the proportion equation
   737.86 : 1,142.30 = 1,142.30 : x
2. Step 2: Convert to fraction form
   737.86/1,142.30 = 1,142.30/x
3. Step 3: Cross multiply
   737.86x = 1,142.30 × 1,142.30
4. Step 4: Simplify right side
   737.86x = 1,304,842.15
5. Step 5: Solve for x
   x = 1,304,842.15/737.86
6. Step 6: Final answer
   x = 1,768.42