Finding the Third Proportional to 37,564 and 54,901

Step by Step Solution

1. Step 1: Write the proportion equation
   37,564 : 54,901 = 54,901 : x
2. Step 2: Convert to fraction form
   37,564/54,901 = 54,901/x
3. Step 3: Cross multiply
   37,564x = 54,901 × 54,901
4. Step 4: Simplify right side
   37,564x = 3,014,119,801
5. Step 5: Solve for x
   x = 3,014,119,801/37,564
6. Step 6: Final answer
   x = 80,239.59