Finding the Third Proportional to 809.50 and 917.50

Step by Step Solution

1. Step 1: Write the proportion equation
   809.50 : 917.50 = 917.50 : x
2. Step 2: Convert to fraction form
   809.50/917.50 = 917.50/x
3. Step 3: Cross multiply
   809.50x = 917.50 × 917.50
4. Step 4: Simplify right side
   809.50x = 841,806.25
5. Step 5: Solve for x
   x = 841,806.25/809.50
6. Step 6: Final answer
   x = 1,039.91