Finding the Third Proportional to 9,624 and 13,006

Step by Step Solution

1. Step 1: Write the proportion equation
   9,624 : 13,006 = 13,006 : x
2. Step 2: Convert to fraction form
   9,624/13,006 = 13,006/x
3. Step 3: Cross multiply
   9,624x = 13,006 × 13,006
4. Step 4: Simplify right side
   9,624x = 169,156,036
5. Step 5: Solve for x
   x = 169,156,036/9,624
6. Step 6: Final answer
   x = 17,576.48