Finding the Third Proportional to 2,373 and 5,797.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,373 : 5,797.50 = 5,797.50 : x
2. Step 2: Convert to fraction form
   2,373/5,797.50 = 5,797.50/x
3. Step 3: Cross multiply
   2,373x = 5,797.50 × 5,797.50
4. Step 4: Simplify right side
   2,373x = 33,611,006.25
5. Step 5: Solve for x
   x = 33,611,006.25/2,373
6. Step 6: Final answer
   x = 14,163.93