Finding the Third Proportional to 11,720 and 17,139

Step by Step Solution

1. Step 1: Write the proportion equation
   11,720 : 17,139 = 17,139 : x
2. Step 2: Convert to fraction form
   11,720/17,139 = 17,139/x
3. Step 3: Cross multiply
   11,720x = 17,139 × 17,139
4. Step 4: Simplify right side
   11,720x = 293,745,321
5. Step 5: Solve for x
   x = 293,745,321/11,720
6. Step 6: Final answer
   x = 25,063.59