Finding the Third Proportional to 3,973.69 and 5,837.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,973.69 : 5,837.25 = 5,837.25 : x
2. Step 2: Convert to fraction form
   3,973.69/5,837.25 = 5,837.25/x
3. Step 3: Cross multiply
   3,973.69x = 5,837.25 × 5,837.25
4. Step 4: Simplify right side
   3,973.69x = 34,073,487.56
5. Step 5: Solve for x
   x = 34,073,487.56/3,973.69
6. Step 6: Final answer
   x = 8,574.78