Finding the Third Proportional to 36,855 and 55,320

Step by Step Solution

1. Step 1: Write the proportion equation
   36,855 : 55,320 = 55,320 : x
2. Step 2: Convert to fraction form
   36,855/55,320 = 55,320/x
3. Step 3: Cross multiply
   36,855x = 55,320 × 55,320
4. Step 4: Simplify right side
   36,855x = 3,060,302,400
5. Step 5: Solve for x
   x = 3,060,302,400/36,855
6. Step 6: Final answer
   x = 83,036.29