Finding the Third Proportional to 13,829 and 21,448

Step by Step Solution

1. Step 1: Write the proportion equation
   13,829 : 21,448 = 21,448 : x
2. Step 2: Convert to fraction form
   13,829/21,448 = 21,448/x
3. Step 3: Cross multiply
   13,829x = 21,448 × 21,448
4. Step 4: Simplify right side
   13,829x = 460,016,704
5. Step 5: Solve for x
   x = 460,016,704/13,829
6. Step 6: Final answer
   x = 33,264.64