Finding the Third Proportional to 2,784 and 4,146

Step by Step Solution

1. Step 1: Write the proportion equation
   2,784 : 4,146 = 4,146 : x
2. Step 2: Convert to fraction form
   2,784/4,146 = 4,146/x
3. Step 3: Cross multiply
   2,784x = 4,146 × 4,146
4. Step 4: Simplify right side
   2,784x = 17,189,316
5. Step 5: Solve for x
   x = 17,189,316/2,784
6. Step 6: Final answer
   x = 6,174.32