Finding the Third Proportional to 2,784 and 3,762

Step by Step Solution

1. Step 1: Write the proportion equation
   2,784 : 3,762 = 3,762 : x
2. Step 2: Convert to fraction form
   2,784/3,762 = 3,762/x
3. Step 3: Cross multiply
   2,784x = 3,762 × 3,762
4. Step 4: Simplify right side
   2,784x = 14,152,644
5. Step 5: Solve for x
   x = 14,152,644/2,784
6. Step 6: Final answer
   x = 5,083.56