Finding the Third Proportional to 1,044.38 and 1,652.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,044.38 : 1,652.53 = 1,652.53 : x
2. Step 2: Convert to fraction form
   1,044.38/1,652.53 = 1,652.53/x
3. Step 3: Cross multiply
   1,044.38x = 1,652.53 × 1,652.53
4. Step 4: Simplify right side
   1,044.38x = 2,730,859.53
5. Step 5: Solve for x
   x = 2,730,859.53/1,044.38
6. Step 6: Final answer
   x = 2,614.83