Finding the Third Proportional to 36,742 and 55,032

Step by Step Solution

1. Step 1: Write the proportion equation
   36,742 : 55,032 = 55,032 : x
2. Step 2: Convert to fraction form
   36,742/55,032 = 55,032/x
3. Step 3: Cross multiply
   36,742x = 55,032 × 55,032
4. Step 4: Simplify right side
   36,742x = 3,028,521,024
5. Step 5: Solve for x
   x = 3,028,521,024/36,742
6. Step 6: Final answer
   x = 82,426.68