Finding the Third Proportional to 12,784 and 17,754

Step by Step Solution

1. Step 1: Write the proportion equation
   12,784 : 17,754 = 17,754 : x
2. Step 2: Convert to fraction form
   12,784/17,754 = 17,754/x
3. Step 3: Cross multiply
   12,784x = 17,754 × 17,754
4. Step 4: Simplify right side
   12,784x = 315,204,516
5. Step 5: Solve for x
   x = 315,204,516/12,784
6. Step 6: Final answer
   x = 24,656.17