Finding the Third Proportional to 817.50 and 1,233.94

Step by Step Solution

1. Step 1: Write the proportion equation
   817.50 : 1,233.94 = 1,233.94 : x
2. Step 2: Convert to fraction form
   817.50/1,233.94 = 1,233.94/x
3. Step 3: Cross multiply
   817.50x = 1,233.94 × 1,233.94
4. Step 4: Simplify right side
   817.50x = 1,522,601.75
5. Step 5: Solve for x
   x = 1,522,601.75/817.50
6. Step 6: Final answer
   x = 1,862.51