Finding the Third Proportional to 1,119.56 and 2,462.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,119.56 : 2,462.81 = 2,462.81 : x
2. Step 2: Convert to fraction form
   1,119.56/2,462.81 = 2,462.81/x
3. Step 3: Cross multiply
   1,119.56x = 2,462.81 × 2,462.81
4. Step 4: Simplify right side
   1,119.56x = 6,065,445.41
5. Step 5: Solve for x
   x = 6,065,445.41/1,119.56
6. Step 6: Final answer
   x = 5,417.69