Finding the Third Proportional to 2,784 and 5,150

Step by Step Solution

1. Step 1: Write the proportion equation
   2,784 : 5,150 = 5,150 : x
2. Step 2: Convert to fraction form
   2,784/5,150 = 5,150/x
3. Step 3: Cross multiply
   2,784x = 5,150 × 5,150
4. Step 4: Simplify right side
   2,784x = 26,522,500
5. Step 5: Solve for x
   x = 26,522,500/2,784
6. Step 6: Final answer
   x = 9,526.76