Finding the Third Proportional to 10,099 and 22,122

Step by Step Solution

1. Step 1: Write the proportion equation
   10,099 : 22,122 = 22,122 : x
2. Step 2: Convert to fraction form
   10,099/22,122 = 22,122/x
3. Step 3: Cross multiply
   10,099x = 22,122 × 22,122
4. Step 4: Simplify right side
   10,099x = 489,382,884
5. Step 5: Solve for x
   x = 489,382,884/10,099
6. Step 6: Final answer
   x = 48,458.55