Finding the Third Proportional to 36,742 and 55,010

Step by Step Solution

1. Step 1: Write the proportion equation
   36,742 : 55,010 = 55,010 : x
2. Step 2: Convert to fraction form
   36,742/55,010 = 55,010/x
3. Step 3: Cross multiply
   36,742x = 55,010 × 55,010
4. Step 4: Simplify right side
   36,742x = 3,026,100,100
5. Step 5: Solve for x
   x = 3,026,100,100/36,742
6. Step 6: Final answer
   x = 82,360.79