Finding the Third Proportional to 11,780 and 17,034

Step by Step Solution

1. Step 1: Write the proportion equation
   11,780 : 17,034 = 17,034 : x
2. Step 2: Convert to fraction form
   11,780/17,034 = 17,034/x
3. Step 3: Cross multiply
   11,780x = 17,034 × 17,034
4. Step 4: Simplify right side
   11,780x = 290,157,156
5. Step 5: Solve for x
   x = 290,157,156/11,780
6. Step 6: Final answer
   x = 24,631.34