Finding the Third Proportional to 5,274 and 5,638.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,274 : 5,638.50 = 5,638.50 : x
2. Step 2: Convert to fraction form
   5,274/5,638.50 = 5,638.50/x
3. Step 3: Cross multiply
   5,274x = 5,638.50 × 5,638.50
4. Step 4: Simplify right side
   5,274x = 31,792,682.25
5. Step 5: Solve for x
   x = 31,792,682.25/5,274
6. Step 6: Final answer
   x = 6,028.19