Finding the Third Proportional to 563.50 and 1,240

Step by Step Solution

1. Step 1: Write the proportion equation
   563.50 : 1,240 = 1,240 : x
2. Step 2: Convert to fraction form
   563.50/1,240 = 1,240/x
3. Step 3: Cross multiply
   563.50x = 1,240 × 1,240
4. Step 4: Simplify right side
   563.50x = 1,537,600
5. Step 5: Solve for x
   x = 1,537,600/563.50
6. Step 6: Final answer
   x = 2,728.66