Finding the Third Proportional to 10,466 and 23,054

Step by Step Solution

1. Step 1: Write the proportion equation
   10,466 : 23,054 = 23,054 : x
2. Step 2: Convert to fraction form
   10,466/23,054 = 23,054/x
3. Step 3: Cross multiply
   10,466x = 23,054 × 23,054
4. Step 4: Simplify right side
   10,466x = 531,486,916
5. Step 5: Solve for x
   x = 531,486,916/10,466
6. Step 6: Final answer
   x = 50,782.24