Finding the Third Proportional to 842.50 and 905.50

Step by Step Solution

1. Step 1: Write the proportion equation
   842.50 : 905.50 = 905.50 : x
2. Step 2: Convert to fraction form
   842.50/905.50 = 905.50/x
3. Step 3: Cross multiply
   842.50x = 905.50 × 905.50
4. Step 4: Simplify right side
   842.50x = 819,930.25
5. Step 5: Solve for x
   x = 819,930.25/842.50
6. Step 6: Final answer
   x = 973.21