Finding the Third Proportional to 7,789.50 and 10,467

Step by Step Solution

1. Step 1: Write the proportion equation
   7,789.50 : 10,467 = 10,467 : x
2. Step 2: Convert to fraction form
   7,789.50/10,467 = 10,467/x
3. Step 3: Cross multiply
   7,789.50x = 10,467 × 10,467
4. Step 4: Simplify right side
   7,789.50x = 109,558,089
5. Step 5: Solve for x
   x = 109,558,089/7,789.50
6. Step 6: Final answer
   x = 14,064.84