Finding the Third Proportional to 5,600 and 13,538

Step by Step Solution

1. Step 1: Write the proportion equation
   5,600 : 13,538 = 13,538 : x
2. Step 2: Convert to fraction form
   5,600/13,538 = 13,538/x
3. Step 3: Cross multiply
   5,600x = 13,538 × 13,538
4. Step 4: Simplify right side
   5,600x = 183,277,444
5. Step 5: Solve for x
   x = 183,277,444/5,600
6. Step 6: Final answer
   x = 32,728.12