Finding the Third Proportional to 9,694.69 and 16,789.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,694.69 : 16,789.78 = 16,789.78 : x
2. Step 2: Convert to fraction form
   9,694.69/16,789.78 = 16,789.78/x
3. Step 3: Cross multiply
   9,694.69x = 16,789.78 × 16,789.78
4. Step 4: Simplify right side
   9,694.69x = 281,896,754.42
5. Step 5: Solve for x
   x = 281,896,754.42/9,694.69
6. Step 6: Final answer
   x = 29,077.45