Finding the Third Proportional to 2,138.06 and 3,175.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,138.06 : 3,175.88 = 3,175.88 : x
2. Step 2: Convert to fraction form
   2,138.06/3,175.88 = 3,175.88/x
3. Step 3: Cross multiply
   2,138.06x = 3,175.88 × 3,175.88
4. Step 4: Simplify right side
   2,138.06x = 10,086,182.02
5. Step 5: Solve for x
   x = 10,086,182.02/2,138.06
6. Step 6: Final answer
   x = 4,717.44