Finding the Third Proportional to 13,500 and 17,970

Step by Step Solution

1. Step 1: Write the proportion equation
   13,500 : 17,970 = 17,970 : x
2. Step 2: Convert to fraction form
   13,500/17,970 = 17,970/x
3. Step 3: Cross multiply
   13,500x = 17,970 × 17,970
4. Step 4: Simplify right side
   13,500x = 322,920,900
5. Step 5: Solve for x
   x = 322,920,900/13,500
6. Step 6: Final answer
   x = 23,920.07