Finding the Third Proportional to 541.69 and 952.31

Step by Step Solution

1. Step 1: Write the proportion equation
   541.69 : 952.31 = 952.31 : x
2. Step 2: Convert to fraction form
   541.69/952.31 = 952.31/x
3. Step 3: Cross multiply
   541.69x = 952.31 × 952.31
4. Step 4: Simplify right side
   541.69x = 906,899.10
5. Step 5: Solve for x
   x = 906,899.10/541.69
6. Step 6: Final answer
   x = 1,674.21