Finding the Third Proportional to 31,644 and 73,272

Step by Step Solution

1. Step 1: Write the proportion equation
   31,644 : 73,272 = 73,272 : x
2. Step 2: Convert to fraction form
   31,644/73,272 = 73,272/x
3. Step 3: Cross multiply
   31,644x = 73,272 × 73,272
4. Step 4: Simplify right side
   31,644x = 5,368,785,984
5. Step 5: Solve for x
   x = 5,368,785,984/31,644
6. Step 6: Final answer
   x = 169,662.05