Finding the Third Proportional to 2,574.70 and 3,851.93

Step by Step Solution

1. Step 1: Write the proportion equation
   2,574.70 : 3,851.93 = 3,851.93 : x
2. Step 2: Convert to fraction form
   2,574.70/3,851.93 = 3,851.93/x
3. Step 3: Cross multiply
   2,574.70x = 3,851.93 × 3,851.93
4. Step 4: Simplify right side
   2,574.70x = 14,837,362.32
5. Step 5: Solve for x
   x = 14,837,362.32/2,574.70
6. Step 6: Final answer
   x = 5,762.75