Finding the Third Proportional to 9,460 and 17,624

Step by Step Solution

1. Step 1: Write the proportion equation
   9,460 : 17,624 = 17,624 : x
2. Step 2: Convert to fraction form
   9,460/17,624 = 17,624/x
3. Step 3: Cross multiply
   9,460x = 17,624 × 17,624
4. Step 4: Simplify right side
   9,460x = 310,605,376
5. Step 5: Solve for x
   x = 310,605,376/9,460
6. Step 6: Final answer
   x = 32,833.55