Finding the Third Proportional to 2,495.13 and 4,158.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,495.13 : 4,158.69 = 4,158.69 : x
2. Step 2: Convert to fraction form
   2,495.13/4,158.69 = 4,158.69/x
3. Step 3: Cross multiply
   2,495.13x = 4,158.69 × 4,158.69
4. Step 4: Simplify right side
   2,495.13x = 17,294,681.72
5. Step 5: Solve for x
   x = 17,294,681.72/2,495.13
6. Step 6: Final answer
   x = 6,931.39