Finding the Third Proportional to 13,539 and 20,196

Step by Step Solution

1. Step 1: Write the proportion equation
   13,539 : 20,196 = 20,196 : x
2. Step 2: Convert to fraction form
   13,539/20,196 = 20,196/x
3. Step 3: Cross multiply
   13,539x = 20,196 × 20,196
4. Step 4: Simplify right side
   13,539x = 407,878,416
5. Step 5: Solve for x
   x = 407,878,416/13,539
6. Step 6: Final answer
   x = 30,126.18