Finding the Third Proportional to 27,636 and 59,640

Step by Step Solution

1. Step 1: Write the proportion equation
   27,636 : 59,640 = 59,640 : x
2. Step 2: Convert to fraction form
   27,636/59,640 = 59,640/x
3. Step 3: Cross multiply
   27,636x = 59,640 × 59,640
4. Step 4: Simplify right side
   27,636x = 3,556,929,600
5. Step 5: Solve for x
   x = 3,556,929,600/27,636
6. Step 6: Final answer
   x = 128,706.38