Finding the Third Proportional to 13,500 and 21,168

Step by Step Solution

1. Step 1: Write the proportion equation
   13,500 : 21,168 = 21,168 : x
2. Step 2: Convert to fraction form
   13,500/21,168 = 21,168/x
3. Step 3: Cross multiply
   13,500x = 21,168 × 21,168
4. Step 4: Simplify right side
   13,500x = 448,084,224
5. Step 5: Solve for x
   x = 448,084,224/13,500
6. Step 6: Final answer
   x = 33,191.42