Finding the Third Proportional to 13,500 and 17,364

Step by Step Solution

1. Step 1: Write the proportion equation
   13,500 : 17,364 = 17,364 : x
2. Step 2: Convert to fraction form
   13,500/17,364 = 17,364/x
3. Step 3: Cross multiply
   13,500x = 17,364 × 17,364
4. Step 4: Simplify right side
   13,500x = 301,508,496
5. Step 5: Solve for x
   x = 301,508,496/13,500
6. Step 6: Final answer
   x = 22,333.96