Finding the Third Proportional to 6,897 and 10,567.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,897 : 10,567.69 = 10,567.69 : x
2. Step 2: Convert to fraction form
   6,897/10,567.69 = 10,567.69/x
3. Step 3: Cross multiply
   6,897x = 10,567.69 × 10,567.69
4. Step 4: Simplify right side
   6,897x = 111,676,019.10
5. Step 5: Solve for x
   x = 111,676,019.10/6,897
6. Step 6: Final answer
   x = 16,191.97