Finding the Third Proportional to 12,314 and 20,199

Step by Step Solution

1. Step 1: Write the proportion equation
   12,314 : 20,199 = 20,199 : x
2. Step 2: Convert to fraction form
   12,314/20,199 = 20,199/x
3. Step 3: Cross multiply
   12,314x = 20,199 × 20,199
4. Step 4: Simplify right side
   12,314x = 407,999,601
5. Step 5: Solve for x
   x = 407,999,601/12,314
6. Step 6: Final answer
   x = 33,132.99