Finding the Third Proportional to 1,003.13 and 1,464.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.13 : 1,464.56 = 1,464.56 : x
2. Step 2: Convert to fraction form
   1,003.13/1,464.56 = 1,464.56/x
3. Step 3: Cross multiply
   1,003.13x = 1,464.56 × 1,464.56
4. Step 4: Simplify right side
   1,003.13x = 2,144,943.32
5. Step 5: Solve for x
   x = 2,144,943.32/1,003.13
6. Step 6: Final answer
   x = 2,138.26