Finding the Third Proportional to 36,772 and 55,012

Step by Step Solution

1. Step 1: Write the proportion equation
   36,772 : 55,012 = 55,012 : x
2. Step 2: Convert to fraction form
   36,772/55,012 = 55,012/x
3. Step 3: Cross multiply
   36,772x = 55,012 × 55,012
4. Step 4: Simplify right side
   36,772x = 3,026,320,144
5. Step 5: Solve for x
   x = 3,026,320,144/36,772
6. Step 6: Final answer
   x = 82,299.58