Finding the Third Proportional to 1,046.69 and 2,165.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,046.69 : 2,165.63 = 2,165.63 : x
2. Step 2: Convert to fraction form
   1,046.69/2,165.63 = 2,165.63/x
3. Step 3: Cross multiply
   1,046.69x = 2,165.63 × 2,165.63
4. Step 4: Simplify right side
   1,046.69x = 4,689,931.64
5. Step 5: Solve for x
   x = 4,689,931.64/1,046.69
6. Step 6: Final answer
   x = 4,480.74