Finding the Third Proportional to 506.25 and 1,076.06

Step by Step Solution

1. Step 1: Write the proportion equation
   506.25 : 1,076.06 = 1,076.06 : x
2. Step 2: Convert to fraction form
   506.25/1,076.06 = 1,076.06/x
3. Step 3: Cross multiply
   506.25x = 1,076.06 × 1,076.06
4. Step 4: Simplify right side
   506.25x = 1,157,910.50
5. Step 5: Solve for x
   x = 1,157,910.50/506.25
6. Step 6: Final answer
   x = 2,287.23