Finding the Third Proportional to 35,674 and 54,852

Step by Step Solution

1. Step 1: Write the proportion equation
   35,674 : 54,852 = 54,852 : x
2. Step 2: Convert to fraction form
   35,674/54,852 = 54,852/x
3. Step 3: Cross multiply
   35,674x = 54,852 × 54,852
4. Step 4: Simplify right side
   35,674x = 3,008,741,904
5. Step 5: Solve for x
   x = 3,008,741,904/35,674
6. Step 6: Final answer
   x = 84,339.91