Finding the Third Proportional to 3,581.64 and 7,870.21

Step by Step Solution

1. Step 1: Write the proportion equation
   3,581.64 : 7,870.21 = 7,870.21 : x
2. Step 2: Convert to fraction form
   3,581.64/7,870.21 = 7,870.21/x
3. Step 3: Cross multiply
   3,581.64x = 7,870.21 × 7,870.21
4. Step 4: Simplify right side
   3,581.64x = 61,940,204.83
5. Step 5: Solve for x
   x = 61,940,204.83/3,581.64
6. Step 6: Final answer
   x = 17,293.81