Finding the Third Proportional to 6,864.75 and 16,041.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,864.75 : 16,041.38 = 16,041.38 : x
2. Step 2: Convert to fraction form
   6,864.75/16,041.38 = 16,041.38/x
3. Step 3: Cross multiply
   6,864.75x = 16,041.38 × 16,041.38
4. Step 4: Simplify right side
   6,864.75x = 257,325,711.89
5. Step 5: Solve for x
   x = 257,325,711.89/6,864.75
6. Step 6: Final answer
   x = 37,485.08