Finding the Third Proportional to 35,686 and 55,505

Step by Step Solution

1. Step 1: Write the proportion equation
   35,686 : 55,505 = 55,505 : x
2. Step 2: Convert to fraction form
   35,686/55,505 = 55,505/x
3. Step 3: Cross multiply
   35,686x = 55,505 × 55,505
4. Step 4: Simplify right side
   35,686x = 3,080,805,025
5. Step 5: Solve for x
   x = 3,080,805,025/35,686
6. Step 6: Final answer
   x = 86,330.91