Finding the Third Proportional to 820.50 and 952.50

Step by Step Solution

1. Step 1: Write the proportion equation
   820.50 : 952.50 = 952.50 : x
2. Step 2: Convert to fraction form
   820.50/952.50 = 952.50/x
3. Step 3: Cross multiply
   820.50x = 952.50 × 952.50
4. Step 4: Simplify right side
   820.50x = 907,256.25
5. Step 5: Solve for x
   x = 907,256.25/820.50
6. Step 6: Final answer
   x = 1,105.74