Finding the Third Proportional to 6,501 and 10,085

Step by Step Solution

1. Step 1: Write the proportion equation
   6,501 : 10,085 = 10,085 : x
2. Step 2: Convert to fraction form
   6,501/10,085 = 10,085/x
3. Step 3: Cross multiply
   6,501x = 10,085 × 10,085
4. Step 4: Simplify right side
   6,501x = 101,707,225
5. Step 5: Solve for x
   x = 101,707,225/6,501
6. Step 6: Final answer
   x = 15,644.86