Finding the Third Proportional to 37,728 and 56,686.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,728 : 56,686.50 = 56,686.50 : x
2. Step 2: Convert to fraction form
   37,728/56,686.50 = 56,686.50/x
3. Step 3: Cross multiply
   37,728x = 56,686.50 × 56,686.50
4. Step 4: Simplify right side
   37,728x = 3,213,359,282.25
5. Step 5: Solve for x
   x = 3,213,359,282.25/37,728
6. Step 6: Final answer
   x = 85,171.74