Finding the Third Proportional to 1,458.56 and 1,965.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,458.56 : 1,965.09 = 1,965.09 : x
2. Step 2: Convert to fraction form
   1,458.56/1,965.09 = 1,965.09/x
3. Step 3: Cross multiply
   1,458.56x = 1,965.09 × 1,965.09
4. Step 4: Simplify right side
   1,458.56x = 3,861,593.45
5. Step 5: Solve for x
   x = 3,861,593.45/1,458.56
6. Step 6: Final answer
   x = 2,647.53