Finding the Third Proportional to 11,980 and 25,199

Step by Step Solution

1. Step 1: Write the proportion equation
   11,980 : 25,199 = 25,199 : x
2. Step 2: Convert to fraction form
   11,980/25,199 = 25,199/x
3. Step 3: Cross multiply
   11,980x = 25,199 × 25,199
4. Step 4: Simplify right side
   11,980x = 634,989,601
5. Step 5: Solve for x
   x = 634,989,601/11,980
6. Step 6: Final answer
   x = 53,004.14