Finding the Third Proportional to 2,596.13 and 3,925.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,596.13 : 3,925.16 = 3,925.16 : x
2. Step 2: Convert to fraction form
   2,596.13/3,925.16 = 3,925.16/x
3. Step 3: Cross multiply
   2,596.13x = 3,925.16 × 3,925.16
4. Step 4: Simplify right side
   2,596.13x = 15,406,851.59
5. Step 5: Solve for x
   x = 15,406,851.59/2,596.13
6. Step 6: Final answer
   x = 5,934.56