Finding the Third Proportional to 3,971.25 and 7,581.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,971.25 : 7,581.75 = 7,581.75 : x
2. Step 2: Convert to fraction form
   3,971.25/7,581.75 = 7,581.75/x
3. Step 3: Cross multiply
   3,971.25x = 7,581.75 × 7,581.75
4. Step 4: Simplify right side
   3,971.25x = 57,482,933.06
5. Step 5: Solve for x
   x = 57,482,933.06/3,971.25
6. Step 6: Final answer
   x = 14,474.77