Finding the Third Proportional to 10,466 and 22,156

Step by Step Solution

1. Step 1: Write the proportion equation
   10,466 : 22,156 = 22,156 : x
2. Step 2: Convert to fraction form
   10,466/22,156 = 22,156/x
3. Step 3: Cross multiply
   10,466x = 22,156 × 22,156
4. Step 4: Simplify right side
   10,466x = 490,888,336
5. Step 5: Solve for x
   x = 490,888,336/10,466
6. Step 6: Final answer
   x = 46,903.15