Finding the Third Proportional to 37,379 and 55,533

Step by Step Solution

1. Step 1: Write the proportion equation
   37,379 : 55,533 = 55,533 : x
2. Step 2: Convert to fraction form
   37,379/55,533 = 55,533/x
3. Step 3: Cross multiply
   37,379x = 55,533 × 55,533
4. Step 4: Simplify right side
   37,379x = 3,083,914,089
5. Step 5: Solve for x
   x = 3,083,914,089/37,379
6. Step 6: Final answer
   x = 82,503.92