Finding the Third Proportional to 7,678.50 and 16,722.75

Step by Step Solution

1. Step 1: Write the proportion equation
   7,678.50 : 16,722.75 = 16,722.75 : x
2. Step 2: Convert to fraction form
   7,678.50/16,722.75 = 16,722.75/x
3. Step 3: Cross multiply
   7,678.50x = 16,722.75 × 16,722.75
4. Step 4: Simplify right side
   7,678.50x = 279,650,367.56
5. Step 5: Solve for x
   x = 279,650,367.56/7,678.50
6. Step 6: Final answer
   x = 36,419.92