Finding the Third Proportional to 10,680 and 12,168

Step by Step Solution

1. Step 1: Write the proportion equation
   10,680 : 12,168 = 12,168 : x
2. Step 2: Convert to fraction form
   10,680/12,168 = 12,168/x
3. Step 3: Cross multiply
   10,680x = 12,168 × 12,168
4. Step 4: Simplify right side
   10,680x = 148,060,224
5. Step 5: Solve for x
   x = 148,060,224/10,680
6. Step 6: Final answer
   x = 13,863.32