Finding the Third Proportional to 2,931.75 and 4,214.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,931.75 : 4,214.25 = 4,214.25 : x
2. Step 2: Convert to fraction form
   2,931.75/4,214.25 = 4,214.25/x
3. Step 3: Cross multiply
   2,931.75x = 4,214.25 × 4,214.25
4. Step 4: Simplify right side
   2,931.75x = 17,759,903.06
5. Step 5: Solve for x
   x = 17,759,903.06/2,931.75
6. Step 6: Final answer
   x = 6,057.78