Finding the Third Proportional to 1,042.31 and 1,571.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,042.31 : 1,571.06 = 1,571.06 : x
2. Step 2: Convert to fraction form
   1,042.31/1,571.06 = 1,571.06/x
3. Step 3: Cross multiply
   1,042.31x = 1,571.06 × 1,571.06
4. Step 4: Simplify right side
   1,042.31x = 2,468,237.38
5. Step 5: Solve for x
   x = 2,468,237.38/1,042.31
6. Step 6: Final answer
   x = 2,368.04