Finding the Third Proportional to 12,608 and 27,142

Step by Step Solution

1. Step 1: Write the proportion equation
   12,608 : 27,142 = 27,142 : x
2. Step 2: Convert to fraction form
   12,608/27,142 = 27,142/x
3. Step 3: Cross multiply
   12,608x = 27,142 × 27,142
4. Step 4: Simplify right side
   12,608x = 736,688,164
5. Step 5: Solve for x
   x = 736,688,164/12,608
6. Step 6: Final answer
   x = 58,430.22