Finding the Third Proportional to 538.31 and 1,260.56

Step by Step Solution

1. Step 1: Write the proportion equation
   538.31 : 1,260.56 = 1,260.56 : x
2. Step 2: Convert to fraction form
   538.31/1,260.56 = 1,260.56/x
3. Step 3: Cross multiply
   538.31x = 1,260.56 × 1,260.56
4. Step 4: Simplify right side
   538.31x = 1,589,017.82
5. Step 5: Solve for x
   x = 1,589,017.82/538.31
6. Step 6: Final answer
   x = 2,951.85