Finding the Third Proportional to 10,323 and 22,254

Step by Step Solution

1. Step 1: Write the proportion equation
   10,323 : 22,254 = 22,254 : x
2. Step 2: Convert to fraction form
   10,323/22,254 = 22,254/x
3. Step 3: Cross multiply
   10,323x = 22,254 × 22,254
4. Step 4: Simplify right side
   10,323x = 495,240,516
5. Step 5: Solve for x
   x = 495,240,516/10,323
6. Step 6: Final answer
   x = 47,974.48