Finding the Third Proportional to 2,869.75 and 4,434.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,869.75 : 4,434.25 = 4,434.25 : x
2. Step 2: Convert to fraction form
   2,869.75/4,434.25 = 4,434.25/x
3. Step 3: Cross multiply
   2,869.75x = 4,434.25 × 4,434.25
4. Step 4: Simplify right side
   2,869.75x = 19,662,573.06
5. Step 5: Solve for x
   x = 19,662,573.06/2,869.75
6. Step 6: Final answer
   x = 6,851.67