Finding the Third Proportional to 4,250 and 5,738

Step by Step Solution

1. Step 1: Write the proportion equation
   4,250 : 5,738 = 5,738 : x
2. Step 2: Convert to fraction form
   4,250/5,738 = 5,738/x
3. Step 3: Cross multiply
   4,250x = 5,738 × 5,738
4. Step 4: Simplify right side
   4,250x = 32,924,644
5. Step 5: Solve for x
   x = 32,924,644/4,250
6. Step 6: Final answer
   x = 7,746.98