Finding the Third Proportional to 688.50 and 1,032

Step by Step Solution

1. Step 1: Write the proportion equation
   688.50 : 1,032 = 1,032 : x
2. Step 2: Convert to fraction form
   688.50/1,032 = 1,032/x
3. Step 3: Cross multiply
   688.50x = 1,032 × 1,032
4. Step 4: Simplify right side
   688.50x = 1,065,024
5. Step 5: Solve for x
   x = 1,065,024/688.50
6. Step 6: Final answer
   x = 1,546.88