Finding the Third Proportional to 9,742 and 17,432

Step by Step Solution

1. Step 1: Write the proportion equation
   9,742 : 17,432 = 17,432 : x
2. Step 2: Convert to fraction form
   9,742/17,432 = 17,432/x
3. Step 3: Cross multiply
   9,742x = 17,432 × 17,432
4. Step 4: Simplify right side
   9,742x = 303,874,624
5. Step 5: Solve for x
   x = 303,874,624/9,742
6. Step 6: Final answer
   x = 31,192.22