Finding the Third Proportional to 2,135 and 3,189.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,135 : 3,189.50 = 3,189.50 : x
2. Step 2: Convert to fraction form
   2,135/3,189.50 = 3,189.50/x
3. Step 3: Cross multiply
   2,135x = 3,189.50 × 3,189.50
4. Step 4: Simplify right side
   2,135x = 10,172,910.25
5. Step 5: Solve for x
   x = 10,172,910.25/2,135
6. Step 6: Final answer
   x = 4,764.83