Finding the Third Proportional to 10,022 and 13,586

Step by Step Solution

1. Step 1: Write the proportion equation
   10,022 : 13,586 = 13,586 : x
2. Step 2: Convert to fraction form
   10,022/13,586 = 13,586/x
3. Step 3: Cross multiply
   10,022x = 13,586 × 13,586
4. Step 4: Simplify right side
   10,022x = 184,579,396
5. Step 5: Solve for x
   x = 184,579,396/10,022
6. Step 6: Final answer
   x = 18,417.42