Finding the Third Proportional to 5,002 and 10,586

Step by Step Solution

1. Step 1: Write the proportion equation
   5,002 : 10,586 = 10,586 : x
2. Step 2: Convert to fraction form
   5,002/10,586 = 10,586/x
3. Step 3: Cross multiply
   5,002x = 10,586 × 10,586
4. Step 4: Simplify right side
   5,002x = 112,063,396
5. Step 5: Solve for x
   x = 112,063,396/5,002
6. Step 6: Final answer
   x = 22,403.72