Finding the Third Proportional to 561.50 and 1,216

Step by Step Solution

1. Step 1: Write the proportion equation
   561.50 : 1,216 = 1,216 : x
2. Step 2: Convert to fraction form
   561.50/1,216 = 1,216/x
3. Step 3: Cross multiply
   561.50x = 1,216 × 1,216
4. Step 4: Simplify right side
   561.50x = 1,478,656
5. Step 5: Solve for x
   x = 1,478,656/561.50
6. Step 6: Final answer
   x = 2,633.40