Finding the Third Proportional to 10,724 and 22,616

Step by Step Solution

1. Step 1: Write the proportion equation
   10,724 : 22,616 = 22,616 : x
2. Step 2: Convert to fraction form
   10,724/22,616 = 22,616/x
3. Step 3: Cross multiply
   10,724x = 22,616 × 22,616
4. Step 4: Simplify right side
   10,724x = 511,483,456
5. Step 5: Solve for x
   x = 511,483,456/10,724
6. Step 6: Final answer
   x = 47,695.21