Finding the Third Proportional to 5,574 and 13,494

Step by Step Solution

1. Step 1: Write the proportion equation
   5,574 : 13,494 = 13,494 : x
2. Step 2: Convert to fraction form
   5,574/13,494 = 13,494/x
3. Step 3: Cross multiply
   5,574x = 13,494 × 13,494
4. Step 4: Simplify right side
   5,574x = 182,088,036
5. Step 5: Solve for x
   x = 182,088,036/5,574
6. Step 6: Final answer
   x = 32,667.39