Finding the Third Proportional to 13,680 and 21,224

Step by Step Solution

1. Step 1: Write the proportion equation
   13,680 : 21,224 = 21,224 : x
2. Step 2: Convert to fraction form
   13,680/21,224 = 21,224/x
3. Step 3: Cross multiply
   13,680x = 21,224 × 21,224
4. Step 4: Simplify right side
   13,680x = 450,458,176
5. Step 5: Solve for x
   x = 450,458,176/13,680
6. Step 6: Final answer
   x = 32,928.23