Finding the Third Proportional to 34,644 and 54,272

Step by Step Solution

1. Step 1: Write the proportion equation
   34,644 : 54,272 = 54,272 : x
2. Step 2: Convert to fraction form
   34,644/54,272 = 54,272/x
3. Step 3: Cross multiply
   34,644x = 54,272 × 54,272
4. Step 4: Simplify right side
   34,644x = 2,945,449,984
5. Step 5: Solve for x
   x = 2,945,449,984/34,644
6. Step 6: Final answer
   x = 85,020.49