Finding the Third Proportional to 31,536 and 73,696

Step by Step Solution

1. Step 1: Write the proportion equation
   31,536 : 73,696 = 73,696 : x
2. Step 2: Convert to fraction form
   31,536/73,696 = 73,696/x
3. Step 3: Cross multiply
   31,536x = 73,696 × 73,696
4. Step 4: Simplify right side
   31,536x = 5,431,100,416
5. Step 5: Solve for x
   x = 5,431,100,416/31,536
6. Step 6: Final answer
   x = 172,219.06