Finding the Third Proportional to 13,536 and 31,500

Step by Step Solution

1. Step 1: Write the proportion equation
   13,536 : 31,500 = 31,500 : x
2. Step 2: Convert to fraction form
   13,536/31,500 = 31,500/x
3. Step 3: Cross multiply
   13,536x = 31,500 × 31,500
4. Step 4: Simplify right side
   13,536x = 992,250,000
5. Step 5: Solve for x
   x = 992,250,000/13,536
6. Step 6: Final answer
   x = 73,304.52