Finding the Third Proportional to 37,106 and 54,327

Step by Step Solution

1. Step 1: Write the proportion equation
   37,106 : 54,327 = 54,327 : x
2. Step 2: Convert to fraction form
   37,106/54,327 = 54,327/x
3. Step 3: Cross multiply
   37,106x = 54,327 × 54,327
4. Step 4: Simplify right side
   37,106x = 2,951,422,929
5. Step 5: Solve for x
   x = 2,951,422,929/37,106
6. Step 6: Final answer
   x = 79,540.32