Finding the Third Proportional to 13,500 and 19,818

Step by Step Solution

1. Step 1: Write the proportion equation
   13,500 : 19,818 = 19,818 : x
2. Step 2: Convert to fraction form
   13,500/19,818 = 19,818/x
3. Step 3: Cross multiply
   13,500x = 19,818 × 19,818
4. Step 4: Simplify right side
   13,500x = 392,753,124
5. Step 5: Solve for x
   x = 392,753,124/13,500
6. Step 6: Final answer
   x = 29,092.82