Finding the Third Proportional to 16,285.50 and 35,688.38

Step by Step Solution

1. Step 1: Write the proportion equation
   16,285.50 : 35,688.38 = 35,688.38 : x
2. Step 2: Convert to fraction form
   16,285.50/35,688.38 = 35,688.38/x
3. Step 3: Cross multiply
   16,285.50x = 35,688.38 × 35,688.38
4. Step 4: Simplify right side
   16,285.50x = 1,273,660,110.14
5. Step 5: Solve for x
   x = 1,273,660,110.14/16,285.50
6. Step 6: Final answer
   x = 78,208.23