Finding the Third Proportional to 2,361 and 3,703.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,361 : 3,703.50 = 3,703.50 : x
2. Step 2: Convert to fraction form
   2,361/3,703.50 = 3,703.50/x
3. Step 3: Cross multiply
   2,361x = 3,703.50 × 3,703.50
4. Step 4: Simplify right side
   2,361x = 13,715,912.25
5. Step 5: Solve for x
   x = 13,715,912.25/2,361
6. Step 6: Final answer
   x = 5,809.37