Finding the Third Proportional to 16,778 and 36,553.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,778 : 36,553.50 = 36,553.50 : x
2. Step 2: Convert to fraction form
   16,778/36,553.50 = 36,553.50/x
3. Step 3: Cross multiply
   16,778x = 36,553.50 × 36,553.50
4. Step 4: Simplify right side
   16,778x = 1,336,158,362.25
5. Step 5: Solve for x
   x = 1,336,158,362.25/16,778
6. Step 6: Final answer
   x = 79,637.52