Finding the Third Proportional to 36,857 and 55,471

Step by Step Solution

1. Step 1: Write the proportion equation
   36,857 : 55,471 = 55,471 : x
2. Step 2: Convert to fraction form
   36,857/55,471 = 55,471/x
3. Step 3: Cross multiply
   36,857x = 55,471 × 55,471
4. Step 4: Simplify right side
   36,857x = 3,077,031,841
5. Step 5: Solve for x
   x = 3,077,031,841/36,857
6. Step 6: Final answer
   x = 83,485.68