Finding the Third Proportional to 31,536 and 37,296

Step by Step Solution

1. Step 1: Write the proportion equation
   31,536 : 37,296 = 37,296 : x
2. Step 2: Convert to fraction form
   31,536/37,296 = 37,296/x
3. Step 3: Cross multiply
   31,536x = 37,296 × 37,296
4. Step 4: Simplify right side
   31,536x = 1,390,991,616
5. Step 5: Solve for x
   x = 1,390,991,616/31,536
6. Step 6: Final answer
   x = 44,108.05