Finding the Third Proportional to 10,784 and 22,224

Step by Step Solution

1. Step 1: Write the proportion equation
   10,784 : 22,224 = 22,224 : x
2. Step 2: Convert to fraction form
   10,784/22,224 = 22,224/x
3. Step 3: Cross multiply
   10,784x = 22,224 × 22,224
4. Step 4: Simplify right side
   10,784x = 493,906,176
5. Step 5: Solve for x
   x = 493,906,176/10,784
6. Step 6: Final answer
   x = 45,799.91