Finding the Third Proportional to 1,219.13 and 1,441.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,219.13 : 1,441.88 = 1,441.88 : x
2. Step 2: Convert to fraction form
   1,219.13/1,441.88 = 1,441.88/x
3. Step 3: Cross multiply
   1,219.13x = 1,441.88 × 1,441.88
4. Step 4: Simplify right side
   1,219.13x = 2,079,003.52
5. Step 5: Solve for x
   x = 2,079,003.52/1,219.13
6. Step 6: Final answer
   x = 1,705.32