Finding the Third Proportional to 10,296 and 22,434

Step by Step Solution

1. Step 1: Write the proportion equation
   10,296 : 22,434 = 22,434 : x
2. Step 2: Convert to fraction form
   10,296/22,434 = 22,434/x
3. Step 3: Cross multiply
   10,296x = 22,434 × 22,434
4. Step 4: Simplify right side
   10,296x = 503,284,356
5. Step 5: Solve for x
   x = 503,284,356/10,296
6. Step 6: Final answer
   x = 48,881.54