Finding the Third Proportional to 1,053.99 and 1,542.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,053.99 : 1,542.54 = 1,542.54 : x
2. Step 2: Convert to fraction form
   1,053.99/1,542.54 = 1,542.54/x
3. Step 3: Cross multiply
   1,053.99x = 1,542.54 × 1,542.54
4. Step 4: Simplify right side
   1,053.99x = 2,379,429.02
5. Step 5: Solve for x
   x = 2,379,429.02/1,053.99
6. Step 6: Final answer
   x = 2,257.55