Finding the Third Proportional to 913.50 and 1,233.56

Step by Step Solution

1. Step 1: Write the proportion equation
   913.50 : 1,233.56 = 1,233.56 : x
2. Step 2: Convert to fraction form
   913.50/1,233.56 = 1,233.56/x
3. Step 3: Cross multiply
   913.50x = 1,233.56 × 1,233.56
4. Step 4: Simplify right side
   913.50x = 1,521,676.44
5. Step 5: Solve for x
   x = 1,521,676.44/913.50
6. Step 6: Final answer
   x = 1,665.77