Finding the Third Proportional to 2,500.13 and 4,137.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,500.13 : 4,137.38 = 4,137.38 : x
2. Step 2: Convert to fraction form
   2,500.13/4,137.38 = 4,137.38/x
3. Step 3: Cross multiply
   2,500.13x = 4,137.38 × 4,137.38
4. Step 4: Simplify right side
   2,500.13x = 17,117,871.89
5. Step 5: Solve for x
   x = 17,117,871.89/2,500.13
6. Step 6: Final answer
   x = 6,846.81