Finding the Third Proportional to 2,598 and 3,898.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,598 : 3,898.50 = 3,898.50 : x
2. Step 2: Convert to fraction form
   2,598/3,898.50 = 3,898.50/x
3. Step 3: Cross multiply
   2,598x = 3,898.50 × 3,898.50
4. Step 4: Simplify right side
   2,598x = 15,198,302.25
5. Step 5: Solve for x
   x = 15,198,302.25/2,598
6. Step 6: Final answer
   x = 5,850.00