Finding the Third Proportional to 35,852 and 55,016

Step by Step Solution

1. Step 1: Write the proportion equation
   35,852 : 55,016 = 55,016 : x
2. Step 2: Convert to fraction form
   35,852/55,016 = 55,016/x
3. Step 3: Cross multiply
   35,852x = 55,016 × 55,016
4. Step 4: Simplify right side
   35,852x = 3,026,760,256
5. Step 5: Solve for x
   x = 3,026,760,256/35,852
6. Step 6: Final answer
   x = 84,423.75