Finding the Third Proportional to 6,710 and 10,369

Step by Step Solution

1. Step 1: Write the proportion equation
   6,710 : 10,369 = 10,369 : x
2. Step 2: Convert to fraction form
   6,710/10,369 = 10,369/x
3. Step 3: Cross multiply
   6,710x = 10,369 × 10,369
4. Step 4: Simplify right side
   6,710x = 107,516,161
5. Step 5: Solve for x
   x = 107,516,161/6,710
6. Step 6: Final answer
   x = 16,023.27