Finding the Third Proportional to 37,308 and 57,772

Step by Step Solution

1. Step 1: Write the proportion equation
   37,308 : 57,772 = 57,772 : x
2. Step 2: Convert to fraction form
   37,308/57,772 = 57,772/x
3. Step 3: Cross multiply
   37,308x = 57,772 × 57,772
4. Step 4: Simplify right side
   37,308x = 3,337,603,984
5. Step 5: Solve for x
   x = 3,337,603,984/37,308
6. Step 6: Final answer
   x = 89,460.81