Finding the Third Proportional to 10,626 and 23,349

Step by Step Solution

1. Step 1: Write the proportion equation
   10,626 : 23,349 = 23,349 : x
2. Step 2: Convert to fraction form
   10,626/23,349 = 23,349/x
3. Step 3: Cross multiply
   10,626x = 23,349 × 23,349
4. Step 4: Simplify right side
   10,626x = 545,175,801
5. Step 5: Solve for x
   x = 545,175,801/10,626
6. Step 6: Final answer
   x = 51,305.83