Finding the Third Proportional to 1,053.42 and 1,542.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,053.42 : 1,542.06 = 1,542.06 : x
2. Step 2: Convert to fraction form
   1,053.42/1,542.06 = 1,542.06/x
3. Step 3: Cross multiply
   1,053.42x = 1,542.06 × 1,542.06
4. Step 4: Simplify right side
   1,053.42x = 2,377,944.71
5. Step 5: Solve for x
   x = 2,377,944.71/1,053.42
6. Step 6: Final answer
   x = 2,257.35