Finding the Third Proportional to 823.50 and 901.50

Step by Step Solution

1. Step 1: Write the proportion equation
   823.50 : 901.50 = 901.50 : x
2. Step 2: Convert to fraction form
   823.50/901.50 = 901.50/x
3. Step 3: Cross multiply
   823.50x = 901.50 × 901.50
4. Step 4: Simplify right side
   823.50x = 812,702.25
5. Step 5: Solve for x
   x = 812,702.25/823.50
6. Step 6: Final answer
   x = 986.89