Finding the Third Proportional to 9,404 and 13,586

Step by Step Solution

1. Step 1: Write the proportion equation
   9,404 : 13,586 = 13,586 : x
2. Step 2: Convert to fraction form
   9,404/13,586 = 13,586/x
3. Step 3: Cross multiply
   9,404x = 13,586 × 13,586
4. Step 4: Simplify right side
   9,404x = 184,579,396
5. Step 5: Solve for x
   x = 184,579,396/9,404
6. Step 6: Final answer
   x = 19,627.75