Finding the Third Proportional to 6,764 and 10,118.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,764 : 10,118.50 = 10,118.50 : x
2. Step 2: Convert to fraction form
   6,764/10,118.50 = 10,118.50/x
3. Step 3: Cross multiply
   6,764x = 10,118.50 × 10,118.50
4. Step 4: Simplify right side
   6,764x = 102,384,042.25
5. Step 5: Solve for x
   x = 102,384,042.25/6,764
6. Step 6: Final answer
   x = 15,136.61