Finding the Third Proportional to 997.50 and 1,092

Step by Step Solution

1. Step 1: Write the proportion equation
   997.50 : 1,092 = 1,092 : x
2. Step 2: Convert to fraction form
   997.50/1,092 = 1,092/x
3. Step 3: Cross multiply
   997.50x = 1,092 × 1,092
4. Step 4: Simplify right side
   997.50x = 1,192,464
5. Step 5: Solve for x
   x = 1,192,464/997.50
6. Step 6: Final answer
   x = 1,195.45