Finding the Third Proportional to 37,395 and 57,496.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,395 : 57,496.50 = 57,496.50 : x
2. Step 2: Convert to fraction form
   37,395/57,496.50 = 57,496.50/x
3. Step 3: Cross multiply
   37,395x = 57,496.50 × 57,496.50
4. Step 4: Simplify right side
   37,395x = 3,305,847,512.25
5. Step 5: Solve for x
   x = 3,305,847,512.25/37,395
6. Step 6: Final answer
   x = 88,403.46