Finding the Third Proportional to 10,800 and 12,784

Step by Step Solution

1. Step 1: Write the proportion equation
   10,800 : 12,784 = 12,784 : x
2. Step 2: Convert to fraction form
   10,800/12,784 = 12,784/x
3. Step 3: Cross multiply
   10,800x = 12,784 × 12,784
4. Step 4: Simplify right side
   10,800x = 163,430,656
5. Step 5: Solve for x
   x = 163,430,656/10,800
6. Step 6: Final answer
   x = 15,132.47