Finding the Third Proportional to 37,966.50 and 57,408.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,966.50 : 57,408.75 = 57,408.75 : x
2. Step 2: Convert to fraction form
   37,966.50/57,408.75 = 57,408.75/x
3. Step 3: Cross multiply
   37,966.50x = 57,408.75 × 57,408.75
4. Step 4: Simplify right side
   37,966.50x = 3,295,764,576.56
5. Step 5: Solve for x
   x = 3,295,764,576.56/37,966.50
6. Step 6: Final answer
   x = 86,807.17