Finding the Third Proportional to 2,034.18 and 5,137.17

Step by Step Solution

1. Step 1: Write the proportion equation
   2,034.18 : 5,137.17 = 5,137.17 : x
2. Step 2: Convert to fraction form
   2,034.18/5,137.17 = 5,137.17/x
3. Step 3: Cross multiply
   2,034.18x = 5,137.17 × 5,137.17
4. Step 4: Simplify right side
   2,034.18x = 26,390,534.87
5. Step 5: Solve for x
   x = 26,390,534.87/2,034.18
6. Step 6: Final answer
   x = 12,973.58