Finding the Third Proportional to 31,536 and 36,384

Step by Step Solution

1. Step 1: Write the proportion equation
   31,536 : 36,384 = 36,384 : x
2. Step 2: Convert to fraction form
   31,536/36,384 = 36,384/x
3. Step 3: Cross multiply
   31,536x = 36,384 × 36,384
4. Step 4: Simplify right side
   31,536x = 1,323,795,456
5. Step 5: Solve for x
   x = 1,323,795,456/31,536
6. Step 6: Final answer
   x = 41,977.28