Finding the Third Proportional to 6,186 and 10,539

Step by Step Solution

1. Step 1: Write the proportion equation
   6,186 : 10,539 = 10,539 : x
2. Step 2: Convert to fraction form
   6,186/10,539 = 10,539/x
3. Step 3: Cross multiply
   6,186x = 10,539 × 10,539
4. Step 4: Simplify right side
   6,186x = 111,070,521
5. Step 5: Solve for x
   x = 111,070,521/6,186
6. Step 6: Final answer
   x = 17,955.14