Finding the Third Proportional to 5,784 and 12,642

Step by Step Solution

1. Step 1: Write the proportion equation
   5,784 : 12,642 = 12,642 : x
2. Step 2: Convert to fraction form
   5,784/12,642 = 12,642/x
3. Step 3: Cross multiply
   5,784x = 12,642 × 12,642
4. Step 4: Simplify right side
   5,784x = 159,820,164
5. Step 5: Solve for x
   x = 159,820,164/5,784
6. Step 6: Final answer
   x = 27,631.43