Finding the Third Proportional to 687.25 and 1,047.88

Step by Step Solution

1. Step 1: Write the proportion equation
   687.25 : 1,047.88 = 1,047.88 : x
2. Step 2: Convert to fraction form
   687.25/1,047.88 = 1,047.88/x
3. Step 3: Cross multiply
   687.25x = 1,047.88 × 1,047.88
4. Step 4: Simplify right side
   687.25x = 1,098,042.02
5. Step 5: Solve for x
   x = 1,098,042.02/687.25
6. Step 6: Final answer
   x = 1,597.73