Finding the Third Proportional to 6,789 and 10,802.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,789 : 10,802.25 = 10,802.25 : x
2. Step 2: Convert to fraction form
   6,789/10,802.25 = 10,802.25/x
3. Step 3: Cross multiply
   6,789x = 10,802.25 × 10,802.25
4. Step 4: Simplify right side
   6,789x = 116,688,605.06
5. Step 5: Solve for x
   x = 116,688,605.06/6,789
6. Step 6: Final answer
   x = 17,187.89