Finding the Third Proportional to 36,971 and 55,393

Step by Step Solution

1. Step 1: Write the proportion equation
   36,971 : 55,393 = 55,393 : x
2. Step 2: Convert to fraction form
   36,971/55,393 = 55,393/x
3. Step 3: Cross multiply
   36,971x = 55,393 × 55,393
4. Step 4: Simplify right side
   36,971x = 3,068,384,449
5. Step 5: Solve for x
   x = 3,068,384,449/36,971
6. Step 6: Final answer
   x = 82,994.36