Finding the Third Proportional to 5,271.75 and 13,746.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,271.75 : 13,746.38 = 13,746.38 : x
2. Step 2: Convert to fraction form
   5,271.75/13,746.38 = 13,746.38/x
3. Step 3: Cross multiply
   5,271.75x = 13,746.38 × 13,746.38
4. Step 4: Simplify right side
   5,271.75x = 188,962,825.64
5. Step 5: Solve for x
   x = 188,962,825.64/5,271.75
6. Step 6: Final answer
   x = 35,844.42