Finding the Third Proportional to 13,140 and 20,124

Step by Step Solution

1. Step 1: Write the proportion equation
   13,140 : 20,124 = 20,124 : x
2. Step 2: Convert to fraction form
   13,140/20,124 = 20,124/x
3. Step 3: Cross multiply
   13,140x = 20,124 × 20,124
4. Step 4: Simplify right side
   13,140x = 404,975,376
5. Step 5: Solve for x
   x = 404,975,376/13,140
6. Step 6: Final answer
   x = 30,820.04