Finding the Third Proportional to 37,511 and 54,822

Step by Step Solution

1. Step 1: Write the proportion equation
   37,511 : 54,822 = 54,822 : x
2. Step 2: Convert to fraction form
   37,511/54,822 = 54,822/x
3. Step 3: Cross multiply
   37,511x = 54,822 × 54,822
4. Step 4: Simplify right side
   37,511x = 3,005,451,684
5. Step 5: Solve for x
   x = 3,005,451,684/37,511
6. Step 6: Final answer
   x = 80,121.88