Finding the Third Proportional to 6,533 and 10,093

Step by Step Solution

1. Step 1: Write the proportion equation
   6,533 : 10,093 = 10,093 : x
2. Step 2: Convert to fraction form
   6,533/10,093 = 10,093/x
3. Step 3: Cross multiply
   6,533x = 10,093 × 10,093
4. Step 4: Simplify right side
   6,533x = 101,868,649
5. Step 5: Solve for x
   x = 101,868,649/6,533
6. Step 6: Final answer
   x = 15,592.94