Finding the Third Proportional to 11,878 and 17,119

Step by Step Solution

1. Step 1: Write the proportion equation
   11,878 : 17,119 = 17,119 : x
2. Step 2: Convert to fraction form
   11,878/17,119 = 17,119/x
3. Step 3: Cross multiply
   11,878x = 17,119 × 17,119
4. Step 4: Simplify right side
   11,878x = 293,060,161
5. Step 5: Solve for x
   x = 293,060,161/11,878
6. Step 6: Final answer
   x = 24,672.52