Finding the Third Proportional to 10,100 and 12,224

Step by Step Solution

1. Step 1: Write the proportion equation
   10,100 : 12,224 = 12,224 : x
2. Step 2: Convert to fraction form
   10,100/12,224 = 12,224/x
3. Step 3: Cross multiply
   10,100x = 12,224 × 12,224
4. Step 4: Simplify right side
   10,100x = 149,426,176
5. Step 5: Solve for x
   x = 149,426,176/10,100
6. Step 6: Final answer
   x = 14,794.67