Finding the Third Proportional to 10,188 and 13,523

Step by Step Solution

1. Step 1: Write the proportion equation
   10,188 : 13,523 = 13,523 : x
2. Step 2: Convert to fraction form
   10,188/13,523 = 13,523/x
3. Step 3: Cross multiply
   10,188x = 13,523 × 13,523
4. Step 4: Simplify right side
   10,188x = 182,871,529
5. Step 5: Solve for x
   x = 182,871,529/10,188
6. Step 6: Final answer
   x = 17,949.70