Finding the Third Proportional to 36,769 and 55,006

Step by Step Solution

1. Step 1: Write the proportion equation
   36,769 : 55,006 = 55,006 : x
2. Step 2: Convert to fraction form
   36,769/55,006 = 55,006/x
3. Step 3: Cross multiply
   36,769x = 55,006 × 55,006
4. Step 4: Simplify right side
   36,769x = 3,025,660,036
5. Step 5: Solve for x
   x = 3,025,660,036/36,769
6. Step 6: Final answer
   x = 82,288.34