Finding the Third Proportional to 12,784 and 17,078

Step by Step Solution

1. Step 1: Write the proportion equation
   12,784 : 17,078 = 17,078 : x
2. Step 2: Convert to fraction form
   12,784/17,078 = 17,078/x
3. Step 3: Cross multiply
   12,784x = 17,078 × 17,078
4. Step 4: Simplify right side
   12,784x = 291,658,084
5. Step 5: Solve for x
   x = 291,658,084/12,784
6. Step 6: Final answer
   x = 22,814.31