Finding the Third Proportional to 6,895 and 10,409

Step by Step Solution

1. Step 1: Write the proportion equation
   6,895 : 10,409 = 10,409 : x
2. Step 2: Convert to fraction form
   6,895/10,409 = 10,409/x
3. Step 3: Cross multiply
   6,895x = 10,409 × 10,409
4. Step 4: Simplify right side
   6,895x = 108,347,281
5. Step 5: Solve for x
   x = 108,347,281/6,895
6. Step 6: Final answer
   x = 15,713.89