Finding the Third Proportional to 1,042.98 and 1,614.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,042.98 : 1,614.41 = 1,614.41 : x
2. Step 2: Convert to fraction form
   1,042.98/1,614.41 = 1,614.41/x
3. Step 3: Cross multiply
   1,042.98x = 1,614.41 × 1,614.41
4. Step 4: Simplify right side
   1,042.98x = 2,606,320.15
5. Step 5: Solve for x
   x = 2,606,320.15/1,042.98
6. Step 6: Final answer
   x = 2,498.92