Finding the Third Proportional to 7,591.50 and 16,008.19

Step by Step Solution

1. Step 1: Write the proportion equation
   7,591.50 : 16,008.19 = 16,008.19 : x
2. Step 2: Convert to fraction form
   7,591.50/16,008.19 = 16,008.19/x
3. Step 3: Cross multiply
   7,591.50x = 16,008.19 × 16,008.19
4. Step 4: Simplify right side
   7,591.50x = 256,262,067.04
5. Step 5: Solve for x
   x = 256,262,067.04/7,591.50
6. Step 6: Final answer
   x = 33,756.45