Finding the Third Proportional to 10,768 and 12,160

Step by Step Solution

1. Step 1: Write the proportion equation
   10,768 : 12,160 = 12,160 : x
2. Step 2: Convert to fraction form
   10,768/12,160 = 12,160/x
3. Step 3: Cross multiply
   10,768x = 12,160 × 12,160
4. Step 4: Simplify right side
   10,768x = 147,865,600
5. Step 5: Solve for x
   x = 147,865,600/10,768
6. Step 6: Final answer
   x = 13,731.95