Finding the Third Proportional to 5,596 and 13,570

Step by Step Solution

1. Step 1: Write the proportion equation
   5,596 : 13,570 = 13,570 : x
2. Step 2: Convert to fraction form
   5,596/13,570 = 13,570/x
3. Step 3: Cross multiply
   5,596x = 13,570 × 13,570
4. Step 4: Simplify right side
   5,596x = 184,144,900
5. Step 5: Solve for x
   x = 184,144,900/5,596
6. Step 6: Final answer
   x = 32,906.52