Finding the Third Proportional to 429.75 and 925.31

Step by Step Solution

1. Step 1: Write the proportion equation
   429.75 : 925.31 = 925.31 : x
2. Step 2: Convert to fraction form
   429.75/925.31 = 925.31/x
3. Step 3: Cross multiply
   429.75x = 925.31 × 925.31
4. Step 4: Simplify right side
   429.75x = 856,203.22
5. Step 5: Solve for x
   x = 856,203.22/429.75
6. Step 6: Final answer
   x = 1,992.33