Finding the Third Proportional to 37,661 and 55,339

Step by Step Solution

1. Step 1: Write the proportion equation
   37,661 : 55,339 = 55,339 : x
2. Step 2: Convert to fraction form
   37,661/55,339 = 55,339/x
3. Step 3: Cross multiply
   37,661x = 55,339 × 55,339
4. Step 4: Simplify right side
   37,661x = 3,062,404,921
5. Step 5: Solve for x
   x = 3,062,404,921/37,661
6. Step 6: Final answer
   x = 81,315.02