Finding the Third Proportional to 13,508 and 20,300

Step by Step Solution

1. Step 1: Write the proportion equation
   13,508 : 20,300 = 20,300 : x
2. Step 2: Convert to fraction form
   13,508/20,300 = 20,300/x
3. Step 3: Cross multiply
   13,508x = 20,300 × 20,300
4. Step 4: Simplify right side
   13,508x = 412,090,000
5. Step 5: Solve for x
   x = 412,090,000/13,508
6. Step 6: Final answer
   x = 30,507.11