Finding the Third Proportional to 27,588 and 61,008

Step by Step Solution

1. Step 1: Write the proportion equation
   27,588 : 61,008 = 61,008 : x
2. Step 2: Convert to fraction form
   27,588/61,008 = 61,008/x
3. Step 3: Cross multiply
   27,588x = 61,008 × 61,008
4. Step 4: Simplify right side
   27,588x = 3,721,976,064
5. Step 5: Solve for x
   x = 3,721,976,064/27,588
6. Step 6: Final answer
   x = 134,912.86