Finding the Third Proportional to 1,513 and 3,231.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,513 : 3,231.50 = 3,231.50 : x
2. Step 2: Convert to fraction form
   1,513/3,231.50 = 3,231.50/x
3. Step 3: Cross multiply
   1,513x = 3,231.50 × 3,231.50
4. Step 4: Simplify right side
   1,513x = 10,442,592.25
5. Step 5: Solve for x
   x = 10,442,592.25/1,513
6. Step 6: Final answer
   x = 6,901.91