Finding the Third Proportional to 27,186 and 59,556

Step by Step Solution

1. Step 1: Write the proportion equation
   27,186 : 59,556 = 59,556 : x
2. Step 2: Convert to fraction form
   27,186/59,556 = 59,556/x
3. Step 3: Cross multiply
   27,186x = 59,556 × 59,556
4. Step 4: Simplify right side
   27,186x = 3,546,917,136
5. Step 5: Solve for x
   x = 3,546,917,136/27,186
6. Step 6: Final answer
   x = 130,468.52