Finding the Third Proportional to 36,743 and 55,011

Step by Step Solution

1. Step 1: Write the proportion equation
   36,743 : 55,011 = 55,011 : x
2. Step 2: Convert to fraction form
   36,743/55,011 = 55,011/x
3. Step 3: Cross multiply
   36,743x = 55,011 × 55,011
4. Step 4: Simplify right side
   36,743x = 3,026,210,121
5. Step 5: Solve for x
   x = 3,026,210,121/36,743
6. Step 6: Final answer
   x = 82,361.54