Finding the Third Proportional to 6,782.50 and 10,789

Step by Step Solution

1. Step 1: Write the proportion equation
   6,782.50 : 10,789 = 10,789 : x
2. Step 2: Convert to fraction form
   6,782.50/10,789 = 10,789/x
3. Step 3: Cross multiply
   6,782.50x = 10,789 × 10,789
4. Step 4: Simplify right side
   6,782.50x = 116,402,521
5. Step 5: Solve for x
   x = 116,402,521/6,782.50
6. Step 6: Final answer
   x = 17,162.19