Finding the Third Proportional to 2,360 and 5,006

Step by Step Solution

1. Step 1: Write the proportion equation
   2,360 : 5,006 = 5,006 : x
2. Step 2: Convert to fraction form
   2,360/5,006 = 5,006/x
3. Step 3: Cross multiply
   2,360x = 5,006 × 5,006
4. Step 4: Simplify right side
   2,360x = 25,060,036
5. Step 5: Solve for x
   x = 25,060,036/2,360
6. Step 6: Final answer
   x = 10,618.66