Finding the Third Proportional to 1,037.91 and 1,542.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,037.91 : 1,542.09 = 1,542.09 : x
2. Step 2: Convert to fraction form
   1,037.91/1,542.09 = 1,542.09/x
3. Step 3: Cross multiply
   1,037.91x = 1,542.09 × 1,542.09
4. Step 4: Simplify right side
   1,037.91x = 2,378,053.13
5. Step 5: Solve for x
   x = 2,378,053.13/1,037.91
6. Step 6: Final answer
   x = 2,291.20