Finding the Third Proportional to 4,640 and 12,112

Step by Step Solution

1. Step 1: Write the proportion equation
   4,640 : 12,112 = 12,112 : x
2. Step 2: Convert to fraction form
   4,640/12,112 = 12,112/x
3. Step 3: Cross multiply
   4,640x = 12,112 × 12,112
4. Step 4: Simplify right side
   4,640x = 146,700,544
5. Step 5: Solve for x
   x = 146,700,544/4,640
6. Step 6: Final answer
   x = 31,616.50