Finding the Third Proportional to 1,815.75 and 3,965.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,815.75 : 3,965.63 = 3,965.63 : x
2. Step 2: Convert to fraction form
   1,815.75/3,965.63 = 3,965.63/x
3. Step 3: Cross multiply
   1,815.75x = 3,965.63 × 3,965.63
4. Step 4: Simplify right side
   1,815.75x = 15,726,181.64
5. Step 5: Solve for x
   x = 15,726,181.64/1,815.75
6. Step 6: Final answer
   x = 8,660.98