Finding the Third Proportional to 35,836 and 55,675

Step by Step Solution

1. Step 1: Write the proportion equation
   35,836 : 55,675 = 55,675 : x
2. Step 2: Convert to fraction form
   35,836/55,675 = 55,675/x
3. Step 3: Cross multiply
   35,836x = 55,675 × 55,675
4. Step 4: Simplify right side
   35,836x = 3,099,705,625
5. Step 5: Solve for x
   x = 3,099,705,625/35,836
6. Step 6: Final answer
   x = 86,496.98