Finding the Third Proportional to 1,441.86 and 2,264.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,441.86 : 2,264.84 = 2,264.84 : x
2. Step 2: Convert to fraction form
   1,441.86/2,264.84 = 2,264.84/x
3. Step 3: Cross multiply
   1,441.86x = 2,264.84 × 2,264.84
4. Step 4: Simplify right side
   1,441.86x = 5,129,481.82
5. Step 5: Solve for x
   x = 5,129,481.82/1,441.86
6. Step 6: Final answer
   x = 3,557.54