Finding the Third Proportional to 7,800 and 16,693.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,800 : 16,693.50 = 16,693.50 : x
2. Step 2: Convert to fraction form
   7,800/16,693.50 = 16,693.50/x
3. Step 3: Cross multiply
   7,800x = 16,693.50 × 16,693.50
4. Step 4: Simplify right side
   7,800x = 278,672,942.25
5. Step 5: Solve for x
   x = 278,672,942.25/7,800
6. Step 6: Final answer
   x = 35,727.30