Finding the Third Proportional to 1,046.13 and 1,434.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,046.13 : 1,434.48 = 1,434.48 : x
2. Step 2: Convert to fraction form
   1,046.13/1,434.48 = 1,434.48/x
3. Step 3: Cross multiply
   1,046.13x = 1,434.48 × 1,434.48
4. Step 4: Simplify right side
   1,046.13x = 2,057,734.22
5. Step 5: Solve for x
   x = 2,057,734.22/1,046.13
6. Step 6: Final answer
   x = 1,966.99