Finding the Third Proportional to 6,499 and 13,305

Step by Step Solution

1. Step 1: Write the proportion equation
   6,499 : 13,305 = 13,305 : x
2. Step 2: Convert to fraction form
   6,499/13,305 = 13,305/x
3. Step 3: Cross multiply
   6,499x = 13,305 × 13,305
4. Step 4: Simplify right side
   6,499x = 177,023,025
5. Step 5: Solve for x
   x = 177,023,025/6,499
6. Step 6: Final answer
   x = 27,238.50