Finding the Third Proportional to 476.25 and 1,045.31

Step by Step Solution

1. Step 1: Write the proportion equation
   476.25 : 1,045.31 = 1,045.31 : x
2. Step 2: Convert to fraction form
   476.25/1,045.31 = 1,045.31/x
3. Step 3: Cross multiply
   476.25x = 1,045.31 × 1,045.31
4. Step 4: Simplify right side
   476.25x = 1,092,678.22
5. Step 5: Solve for x
   x = 1,092,678.22/476.25
6. Step 6: Final answer
   x = 2,294.34