Finding the Third Proportional to 2,647.13 and 3,925.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,647.13 : 3,925.69 = 3,925.69 : x
2. Step 2: Convert to fraction form
   2,647.13/3,925.69 = 3,925.69/x
3. Step 3: Cross multiply
   2,647.13x = 3,925.69 × 3,925.69
4. Step 4: Simplify right side
   2,647.13x = 15,411,022.35
5. Step 5: Solve for x
   x = 15,411,022.35/2,647.13
6. Step 6: Final answer
   x = 5,821.80