Finding the Third Proportional to 36,628 and 55,644

Step by Step Solution

1. Step 1: Write the proportion equation
   36,628 : 55,644 = 55,644 : x
2. Step 2: Convert to fraction form
   36,628/55,644 = 55,644/x
3. Step 3: Cross multiply
   36,628x = 55,644 × 55,644
4. Step 4: Simplify right side
   36,628x = 3,096,254,736
5. Step 5: Solve for x
   x = 3,096,254,736/36,628
6. Step 6: Final answer
   x = 84,532.45