Finding the Third Proportional to 6,175 and 13,685

Step by Step Solution

1. Step 1: Write the proportion equation
   6,175 : 13,685 = 13,685 : x
2. Step 2: Convert to fraction form
   6,175/13,685 = 13,685/x
3. Step 3: Cross multiply
   6,175x = 13,685 × 13,685
4. Step 4: Simplify right side
   6,175x = 187,279,225
5. Step 5: Solve for x
   x = 187,279,225/6,175
6. Step 6: Final answer
   x = 30,328.62