Finding the Third Proportional to 10,224 and 22,061

Step by Step Solution

1. Step 1: Write the proportion equation
   10,224 : 22,061 = 22,061 : x
2. Step 2: Convert to fraction form
   10,224/22,061 = 22,061/x
3. Step 3: Cross multiply
   10,224x = 22,061 × 22,061
4. Step 4: Simplify right side
   10,224x = 486,687,721
5. Step 5: Solve for x
   x = 486,687,721/10,224
6. Step 6: Final answer
   x = 47,602.48