Finding the Third Proportional to 12,099 and 25,223

Step by Step Solution

1. Step 1: Write the proportion equation
   12,099 : 25,223 = 25,223 : x
2. Step 2: Convert to fraction form
   12,099/25,223 = 25,223/x
3. Step 3: Cross multiply
   12,099x = 25,223 × 25,223
4. Step 4: Simplify right side
   12,099x = 636,199,729
5. Step 5: Solve for x
   x = 636,199,729/12,099
6. Step 6: Final answer
   x = 52,582.84