Finding the Third Proportional to 825.75 and 940.50

Step by Step Solution

1. Step 1: Write the proportion equation
   825.75 : 940.50 = 940.50 : x
2. Step 2: Convert to fraction form
   825.75/940.50 = 940.50/x
3. Step 3: Cross multiply
   825.75x = 940.50 × 940.50
4. Step 4: Simplify right side
   825.75x = 884,540.25
5. Step 5: Solve for x
   x = 884,540.25/825.75
6. Step 6: Final answer
   x = 1,071.20