Finding the Third Proportional to 559.38 and 1,222.63

Step by Step Solution

1. Step 1: Write the proportion equation
   559.38 : 1,222.63 = 1,222.63 : x
2. Step 2: Convert to fraction form
   559.38/1,222.63 = 1,222.63/x
3. Step 3: Cross multiply
   559.38x = 1,222.63 × 1,222.63
4. Step 4: Simplify right side
   559.38x = 1,494,811.89
5. Step 5: Solve for x
   x = 1,494,811.89/559.38
6. Step 6: Final answer
   x = 2,672.29