Finding the Third Proportional to 2,155 and 3,298.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,155 : 3,298.50 = 3,298.50 : x
2. Step 2: Convert to fraction form
   2,155/3,298.50 = 3,298.50/x
3. Step 3: Cross multiply
   2,155x = 3,298.50 × 3,298.50
4. Step 4: Simplify right side
   2,155x = 10,880,102.25
5. Step 5: Solve for x
   x = 10,880,102.25/2,155
6. Step 6: Final answer
   x = 5,048.77