Finding the Third Proportional to 27,008 and 42,272

Step by Step Solution

1. Step 1: Write the proportion equation
   27,008 : 42,272 = 42,272 : x
2. Step 2: Convert to fraction form
   27,008/42,272 = 42,272/x
3. Step 3: Cross multiply
   27,008x = 42,272 × 42,272
4. Step 4: Simplify right side
   27,008x = 1,786,921,984
5. Step 5: Solve for x
   x = 1,786,921,984/27,008
6. Step 6: Final answer
   x = 66,162.69