Finding the Third Proportional to 37,644 and 55,427

Step by Step Solution

1. Step 1: Write the proportion equation
   37,644 : 55,427 = 55,427 : x
2. Step 2: Convert to fraction form
   37,644/55,427 = 55,427/x
3. Step 3: Cross multiply
   37,644x = 55,427 × 55,427
4. Step 4: Simplify right side
   37,644x = 3,072,152,329
5. Step 5: Solve for x
   x = 3,072,152,329/37,644
6. Step 6: Final answer
   x = 81,610.68