Finding the Third Proportional to 36,705 and 55,140

Step by Step Solution

1. Step 1: Write the proportion equation
   36,705 : 55,140 = 55,140 : x
2. Step 2: Convert to fraction form
   36,705/55,140 = 55,140/x
3. Step 3: Cross multiply
   36,705x = 55,140 × 55,140
4. Step 4: Simplify right side
   36,705x = 3,040,419,600
5. Step 5: Solve for x
   x = 3,040,419,600/36,705
6. Step 6: Final answer
   x = 82,833.94