Finding the Third Proportional to 37,405 and 81,849

Step by Step Solution

1. Step 1: Write the proportion equation
   37,405 : 81,849 = 81,849 : x
2. Step 2: Convert to fraction form
   37,405/81,849 = 81,849/x
3. Step 3: Cross multiply
   37,405x = 81,849 × 81,849
4. Step 4: Simplify right side
   37,405x = 6,699,258,801
5. Step 5: Solve for x
   x = 6,699,258,801/37,405
6. Step 6: Final answer
   x = 179,100.62