Finding the Third Proportional to 10,588 and 20,608

Step by Step Solution

1. Step 1: Write the proportion equation
   10,588 : 20,608 = 20,608 : x
2. Step 2: Convert to fraction form
   10,588/20,608 = 20,608/x
3. Step 3: Cross multiply
   10,588x = 20,608 × 20,608
4. Step 4: Simplify right side
   10,588x = 424,689,664
5. Step 5: Solve for x
   x = 424,689,664/10,588
6. Step 6: Final answer
   x = 40,110.47