Finding the Third Proportional to 13,500 and 20,109.38

Step by Step Solution

1. Step 1: Write the proportion equation
   13,500 : 20,109.38 = 20,109.38 : x
2. Step 2: Convert to fraction form
   13,500/20,109.38 = 20,109.38/x
3. Step 3: Cross multiply
   13,500x = 20,109.38 × 20,109.38
4. Step 4: Simplify right side
   13,500x = 404,386,962.89
5. Step 5: Solve for x
   x = 404,386,962.89/13,500
6. Step 6: Final answer
   x = 29,954.59