Finding the Third Proportional to 31,536 and 55,296

Step by Step Solution

1. Step 1: Write the proportion equation
   31,536 : 55,296 = 55,296 : x
2. Step 2: Convert to fraction form
   31,536/55,296 = 55,296/x
3. Step 3: Cross multiply
   31,536x = 55,296 × 55,296
4. Step 4: Simplify right side
   31,536x = 3,057,647,616
5. Step 5: Solve for x
   x = 3,057,647,616/31,536
6. Step 6: Final answer
   x = 96,957.37