Finding the Third Proportional to 1,032.54 and 1,471.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,032.54 : 1,471.92 = 1,471.92 : x
2. Step 2: Convert to fraction form
   1,032.54/1,471.92 = 1,471.92/x
3. Step 3: Cross multiply
   1,032.54x = 1,471.92 × 1,471.92
4. Step 4: Simplify right side
   1,032.54x = 2,166,554.01
5. Step 5: Solve for x
   x = 2,166,554.01/1,032.54
6. Step 6: Final answer
   x = 2,098.28