Finding the Third Proportional to 1,782.28 and 2,365.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,782.28 : 2,365.31 = 2,365.31 : x
2. Step 2: Convert to fraction form
   1,782.28/2,365.31 = 2,365.31/x
3. Step 3: Cross multiply
   1,782.28x = 2,365.31 × 2,365.31
4. Step 4: Simplify right side
   1,782.28x = 5,594,703.22
5. Step 5: Solve for x
   x = 5,594,703.22/1,782.28
6. Step 6: Final answer
   x = 3,139.07