Finding the Third Proportional to 800 and 915.50

Step by Step Solution

1. Step 1: Write the proportion equation
   800 : 915.50 = 915.50 : x
2. Step 2: Convert to fraction form
   800/915.50 = 915.50/x
3. Step 3: Cross multiply
   800x = 915.50 × 915.50
4. Step 4: Simplify right side
   800x = 838,140.25
5. Step 5: Solve for x
   x = 838,140.25/800
6. Step 6: Final answer
   x = 1,047.68