Finding the Third Proportional to 7,702 and 12,256

Step by Step Solution

1. Step 1: Write the proportion equation
   7,702 : 12,256 = 12,256 : x
2. Step 2: Convert to fraction form
   7,702/12,256 = 12,256/x
3. Step 3: Cross multiply
   7,702x = 12,256 × 12,256
4. Step 4: Simplify right side
   7,702x = 150,209,536
5. Step 5: Solve for x
   x = 150,209,536/7,702
6. Step 6: Final answer
   x = 19,502.67