Finding the Third Proportional to 10,820 and 13,188

Step by Step Solution

1. Step 1: Write the proportion equation
   10,820 : 13,188 = 13,188 : x
2. Step 2: Convert to fraction form
   10,820/13,188 = 13,188/x
3. Step 3: Cross multiply
   10,820x = 13,188 × 13,188
4. Step 4: Simplify right side
   10,820x = 173,923,344
5. Step 5: Solve for x
   x = 173,923,344/10,820
6. Step 6: Final answer
   x = 16,074.25