Finding the Third Proportional to 1,362.37 and 2,782.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,362.37 : 2,782.52 = 2,782.52 : x
2. Step 2: Convert to fraction form
   1,362.37/2,782.52 = 2,782.52/x
3. Step 3: Cross multiply
   1,362.37x = 2,782.52 × 2,782.52
4. Step 4: Simplify right side
   1,362.37x = 7,742,395.92
5. Step 5: Solve for x
   x = 7,742,395.92/1,362.37
6. Step 6: Final answer
   x = 5,683.05