Finding the Third Proportional to 36,518 and 55,171

Step by Step Solution

1. Step 1: Write the proportion equation
   36,518 : 55,171 = 55,171 : x
2. Step 2: Convert to fraction form
   36,518/55,171 = 55,171/x
3. Step 3: Cross multiply
   36,518x = 55,171 × 55,171
4. Step 4: Simplify right side
   36,518x = 3,043,839,241
5. Step 5: Solve for x
   x = 3,043,839,241/36,518
6. Step 6: Final answer
   x = 83,351.75