Finding the Third Proportional to 6,499 and 14,095

Step by Step Solution

1. Step 1: Write the proportion equation
   6,499 : 14,095 = 14,095 : x
2. Step 2: Convert to fraction form
   6,499/14,095 = 14,095/x
3. Step 3: Cross multiply
   6,499x = 14,095 × 14,095
4. Step 4: Simplify right side
   6,499x = 198,669,025
5. Step 5: Solve for x
   x = 198,669,025/6,499
6. Step 6: Final answer
   x = 30,569.17