Finding the Third Proportional to 7,978.50 and 16,355

Step by Step Solution

1. Step 1: Write the proportion equation
   7,978.50 : 16,355 = 16,355 : x
2. Step 2: Convert to fraction form
   7,978.50/16,355 = 16,355/x
3. Step 3: Cross multiply
   7,978.50x = 16,355 × 16,355
4. Step 4: Simplify right side
   7,978.50x = 267,486,025
5. Step 5: Solve for x
   x = 267,486,025/7,978.50
6. Step 6: Final answer
   x = 33,525.85