Finding the Third Proportional to 10,466 and 22,099

Step by Step Solution

1. Step 1: Write the proportion equation
   10,466 : 22,099 = 22,099 : x
2. Step 2: Convert to fraction form
   10,466/22,099 = 22,099/x
3. Step 3: Cross multiply
   10,466x = 22,099 × 22,099
4. Step 4: Simplify right side
   10,466x = 488,365,801
5. Step 5: Solve for x
   x = 488,365,801/10,466
6. Step 6: Final answer
   x = 46,662.13