Finding the Third Proportional to 10,588 and 19,610

Step by Step Solution

1. Step 1: Write the proportion equation
   10,588 : 19,610 = 19,610 : x
2. Step 2: Convert to fraction form
   10,588/19,610 = 19,610/x
3. Step 3: Cross multiply
   10,588x = 19,610 × 19,610
4. Step 4: Simplify right side
   10,588x = 384,552,100
5. Step 5: Solve for x
   x = 384,552,100/10,588
6. Step 6: Final answer
   x = 36,319.62