Finding the Third Proportional to 10,061 and 21,663

Step by Step Solution

1. Step 1: Write the proportion equation
   10,061 : 21,663 = 21,663 : x
2. Step 2: Convert to fraction form
   10,061/21,663 = 21,663/x
3. Step 3: Cross multiply
   10,061x = 21,663 × 21,663
4. Step 4: Simplify right side
   10,061x = 469,285,569
5. Step 5: Solve for x
   x = 469,285,569/10,061
6. Step 6: Final answer
   x = 46,644.03