Finding the Third Proportional to 10,422 and 16,254

Step by Step Solution

1. Step 1: Write the proportion equation
   10,422 : 16,254 = 16,254 : x
2. Step 2: Convert to fraction form
   10,422/16,254 = 16,254/x
3. Step 3: Cross multiply
   10,422x = 16,254 × 16,254
4. Step 4: Simplify right side
   10,422x = 264,192,516
5. Step 5: Solve for x
   x = 264,192,516/10,422
6. Step 6: Final answer
   x = 25,349.50