Finding the Third Proportional to 36,767 and 55,003

Step by Step Solution

1. Step 1: Write the proportion equation
   36,767 : 55,003 = 55,003 : x
2. Step 2: Convert to fraction form
   36,767/55,003 = 55,003/x
3. Step 3: Cross multiply
   36,767x = 55,003 × 55,003
4. Step 4: Simplify right side
   36,767x = 3,025,330,009
5. Step 5: Solve for x
   x = 3,025,330,009/36,767
6. Step 6: Final answer
   x = 82,283.84