Finding the Third Proportional to 12,424.50 and 24,222

Step by Step Solution

1. Step 1: Write the proportion equation
   12,424.50 : 24,222 = 24,222 : x
2. Step 2: Convert to fraction form
   12,424.50/24,222 = 24,222/x
3. Step 3: Cross multiply
   12,424.50x = 24,222 × 24,222
4. Step 4: Simplify right side
   12,424.50x = 586,705,284
5. Step 5: Solve for x
   x = 586,705,284/12,424.50
6. Step 6: Final answer
   x = 47,221.64