Finding the Third Proportional to 11,582 and 17,429

Step by Step Solution

1. Step 1: Write the proportion equation
   11,582 : 17,429 = 17,429 : x
2. Step 2: Convert to fraction form
   11,582/17,429 = 17,429/x
3. Step 3: Cross multiply
   11,582x = 17,429 × 17,429
4. Step 4: Simplify right side
   11,582x = 303,770,041
5. Step 5: Solve for x
   x = 303,770,041/11,582
6. Step 6: Final answer
   x = 26,227.77