Finding the Third Proportional to 5,674.78 and 12,222.84

Step by Step Solution

1. Step 1: Write the proportion equation
   5,674.78 : 12,222.84 = 12,222.84 : x
2. Step 2: Convert to fraction form
   5,674.78/12,222.84 = 12,222.84/x
3. Step 3: Cross multiply
   5,674.78x = 12,222.84 × 12,222.84
4. Step 4: Simplify right side
   5,674.78x = 149,397,909.34
5. Step 5: Solve for x
   x = 149,397,909.34/5,674.78
6. Step 6: Final answer
   x = 26,326.64