Finding the Third Proportional to 1,846.13 and 4,464.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,846.13 : 4,464.56 = 4,464.56 : x
2. Step 2: Convert to fraction form
   1,846.13/4,464.56 = 4,464.56/x
3. Step 3: Cross multiply
   1,846.13x = 4,464.56 × 4,464.56
4. Step 4: Simplify right side
   1,846.13x = 19,932,318.32
5. Step 5: Solve for x
   x = 19,932,318.32/1,846.13
6. Step 6: Final answer
   x = 10,796.84