Finding the Third Proportional to 37,087 and 57,533

Step by Step Solution

1. Step 1: Write the proportion equation
   37,087 : 57,533 = 57,533 : x
2. Step 2: Convert to fraction form
   37,087/57,533 = 57,533/x
3. Step 3: Cross multiply
   37,087x = 57,533 × 57,533
4. Step 4: Simplify right side
   37,087x = 3,310,046,089
5. Step 5: Solve for x
   x = 3,310,046,089/37,087
6. Step 6: Final answer
   x = 89,250.85