Finding the Third Proportional to 10,176 and 13,520

Step by Step Solution

1. Step 1: Write the proportion equation
   10,176 : 13,520 = 13,520 : x
2. Step 2: Convert to fraction form
   10,176/13,520 = 13,520/x
3. Step 3: Cross multiply
   10,176x = 13,520 × 13,520
4. Step 4: Simplify right side
   10,176x = 182,790,400
5. Step 5: Solve for x
   x = 182,790,400/10,176
6. Step 6: Final answer
   x = 17,962.89