Finding the Third Proportional to 7,597 and 16,019

Step by Step Solution

1. Step 1: Write the proportion equation
   7,597 : 16,019 = 16,019 : x
2. Step 2: Convert to fraction form
   7,597/16,019 = 16,019/x
3. Step 3: Cross multiply
   7,597x = 16,019 × 16,019
4. Step 4: Simplify right side
   7,597x = 256,608,361
5. Step 5: Solve for x
   x = 256,608,361/7,597
6. Step 6: Final answer
   x = 33,777.59