Finding the Third Proportional to 7,784.78 and 16,694.03

Step by Step Solution

1. Step 1: Write the proportion equation
   7,784.78 : 16,694.03 = 16,694.03 : x
2. Step 2: Convert to fraction form
   7,784.78/16,694.03 = 16,694.03/x
3. Step 3: Cross multiply
   7,784.78x = 16,694.03 × 16,694.03
4. Step 4: Simplify right side
   7,784.78x = 278,690,597.86
5. Step 5: Solve for x
   x = 278,690,597.86/7,784.78
6. Step 6: Final answer
   x = 35,799.42