Finding the Third Proportional to 10,741 and 23,663

Step by Step Solution

1. Step 1: Write the proportion equation
   10,741 : 23,663 = 23,663 : x
2. Step 2: Convert to fraction form
   10,741/23,663 = 23,663/x
3. Step 3: Cross multiply
   10,741x = 23,663 × 23,663
4. Step 4: Simplify right side
   10,741x = 559,937,569
5. Step 5: Solve for x
   x = 559,937,569/10,741
6. Step 6: Final answer
   x = 52,130.86