Finding the Third Proportional to 11,780 and 17,158

Step by Step Solution

1. Step 1: Write the proportion equation
   11,780 : 17,158 = 17,158 : x
2. Step 2: Convert to fraction form
   11,780/17,158 = 17,158/x
3. Step 3: Cross multiply
   11,780x = 17,158 × 17,158
4. Step 4: Simplify right side
   11,780x = 294,396,964
5. Step 5: Solve for x
   x = 294,396,964/11,780
6. Step 6: Final answer
   x = 24,991.25