Finding the Third Proportional to 37,728 and 78,556.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,728 : 78,556.50 = 78,556.50 : x
2. Step 2: Convert to fraction form
   37,728/78,556.50 = 78,556.50/x
3. Step 3: Cross multiply
   37,728x = 78,556.50 × 78,556.50
4. Step 4: Simplify right side
   37,728x = 6,171,123,692.25
5. Step 5: Solve for x
   x = 6,171,123,692.25/37,728
6. Step 6: Final answer
   x = 163,568.80