Finding the Third Proportional to 6,790 and 10,510

Step by Step Solution

1. Step 1: Write the proportion equation
   6,790 : 10,510 = 10,510 : x
2. Step 2: Convert to fraction form
   6,790/10,510 = 10,510/x
3. Step 3: Cross multiply
   6,790x = 10,510 × 10,510
4. Step 4: Simplify right side
   6,790x = 110,460,100
5. Step 5: Solve for x
   x = 110,460,100/6,790
6. Step 6: Final answer
   x = 16,268.06