Finding the Third Proportional to 36,412 and 55,676

Step by Step Solution

1. Step 1: Write the proportion equation
   36,412 : 55,676 = 55,676 : x
2. Step 2: Convert to fraction form
   36,412/55,676 = 55,676/x
3. Step 3: Cross multiply
   36,412x = 55,676 × 55,676
4. Step 4: Simplify right side
   36,412x = 3,099,816,976
5. Step 5: Solve for x
   x = 3,099,816,976/36,412
6. Step 6: Final answer
   x = 85,131.74