Finding the Third Proportional to 1,232.72 and 1,782.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,232.72 : 1,782.42 = 1,782.42 : x
2. Step 2: Convert to fraction form
   1,232.72/1,782.42 = 1,782.42/x
3. Step 3: Cross multiply
   1,232.72x = 1,782.42 × 1,782.42
4. Step 4: Simplify right side
   1,232.72x = 3,177,027.74
5. Step 5: Solve for x
   x = 3,177,027.74/1,232.72
6. Step 6: Final answer
   x = 2,577.25