Finding the Third Proportional to 6,340 and 13,085

Step by Step Solution

1. Step 1: Write the proportion equation
   6,340 : 13,085 = 13,085 : x
2. Step 2: Convert to fraction form
   6,340/13,085 = 13,085/x
3. Step 3: Cross multiply
   6,340x = 13,085 × 13,085
4. Step 4: Simplify right side
   6,340x = 171,217,225
5. Step 5: Solve for x
   x = 171,217,225/6,340
6. Step 6: Final answer
   x = 27,005.87