Finding the Third Proportional to 9,434 and 17,590

Step by Step Solution

1. Step 1: Write the proportion equation
   9,434 : 17,590 = 17,590 : x
2. Step 2: Convert to fraction form
   9,434/17,590 = 17,590/x
3. Step 3: Cross multiply
   9,434x = 17,590 × 17,590
4. Step 4: Simplify right side
   9,434x = 309,408,100
5. Step 5: Solve for x
   x = 309,408,100/9,434
6. Step 6: Final answer
   x = 32,797.13