Finding the Third Proportional to 37,849 and 57,299.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,849 : 57,299.50 = 57,299.50 : x
2. Step 2: Convert to fraction form
   37,849/57,299.50 = 57,299.50/x
3. Step 3: Cross multiply
   37,849x = 57,299.50 × 57,299.50
4. Step 4: Simplify right side
   37,849x = 3,283,232,700.25
5. Step 5: Solve for x
   x = 3,283,232,700.25/37,849
6. Step 6: Final answer
   x = 86,745.56