Finding the Third Proportional to 6,807.80 and 10,513.55

Step by Step Solution

1. Step 1: Write the proportion equation
   6,807.80 : 10,513.55 = 10,513.55 : x
2. Step 2: Convert to fraction form
   6,807.80/10,513.55 = 10,513.55/x
3. Step 3: Cross multiply
   6,807.80x = 10,513.55 × 10,513.55
4. Step 4: Simplify right side
   6,807.80x = 110,534,667.89
5. Step 5: Solve for x
   x = 110,534,667.89/6,807.80
6. Step 6: Final answer
   x = 16,236.48