Finding the Third Proportional to 561.50 and 1,226

Step by Step Solution

1. Step 1: Write the proportion equation
   561.50 : 1,226 = 1,226 : x
2. Step 2: Convert to fraction form
   561.50/1,226 = 1,226/x
3. Step 3: Cross multiply
   561.50x = 1,226 × 1,226
4. Step 4: Simplify right side
   561.50x = 1,503,076
5. Step 5: Solve for x
   x = 1,503,076/561.50
6. Step 6: Final answer
   x = 2,676.89