Finding the Third Proportional to 9,404 and 15,674

Step by Step Solution

1. Step 1: Write the proportion equation
   9,404 : 15,674 = 15,674 : x
2. Step 2: Convert to fraction form
   9,404/15,674 = 15,674/x
3. Step 3: Cross multiply
   9,404x = 15,674 × 15,674
4. Step 4: Simplify right side
   9,404x = 245,674,276
5. Step 5: Solve for x
   x = 245,674,276/9,404
6. Step 6: Final answer
   x = 26,124.44