Finding the Third Proportional to 468.47 and 687.52

Step by Step Solution

1. Step 1: Write the proportion equation
   468.47 : 687.52 = 687.52 : x
2. Step 2: Convert to fraction form
   468.47/687.52 = 687.52/x
3. Step 3: Cross multiply
   468.47x = 687.52 × 687.52
4. Step 4: Simplify right side
   468.47x = 472,677.73
5. Step 5: Solve for x
   x = 472,677.73/468.47
6. Step 6: Final answer
   x = 1,008.98