Finding the Third Proportional to 37,536 and 54,852

Step by Step Solution

1. Step 1: Write the proportion equation
   37,536 : 54,852 = 54,852 : x
2. Step 2: Convert to fraction form
   37,536/54,852 = 54,852/x
3. Step 3: Cross multiply
   37,536x = 54,852 × 54,852
4. Step 4: Simplify right side
   37,536x = 3,008,741,904
5. Step 5: Solve for x
   x = 3,008,741,904/37,536
6. Step 6: Final answer
   x = 80,156.17