Finding the Third Proportional to 36,231 and 53,049

Step by Step Solution

1. Step 1: Write the proportion equation
   36,231 : 53,049 = 53,049 : x
2. Step 2: Convert to fraction form
   36,231/53,049 = 53,049/x
3. Step 3: Cross multiply
   36,231x = 53,049 × 53,049
4. Step 4: Simplify right side
   36,231x = 2,814,196,401
5. Step 5: Solve for x
   x = 2,814,196,401/36,231
6. Step 6: Final answer
   x = 77,673.72