Finding the Third Proportional to 2,597 and 3,922.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,597 : 3,922.50 = 3,922.50 : x
2. Step 2: Convert to fraction form
   2,597/3,922.50 = 3,922.50/x
3. Step 3: Cross multiply
   2,597x = 3,922.50 × 3,922.50
4. Step 4: Simplify right side
   2,597x = 15,386,006.25
5. Step 5: Solve for x
   x = 15,386,006.25/2,597
6. Step 6: Final answer
   x = 5,924.53