Finding the Third Proportional to 9,930 and 13,523

Step by Step Solution

1. Step 1: Write the proportion equation
   9,930 : 13,523 = 13,523 : x
2. Step 2: Convert to fraction form
   9,930/13,523 = 13,523/x
3. Step 3: Cross multiply
   9,930x = 13,523 × 13,523
4. Step 4: Simplify right side
   9,930x = 182,871,529
5. Step 5: Solve for x
   x = 182,871,529/9,930
6. Step 6: Final answer
   x = 18,416.07