Finding the Third Proportional to 10,550 and 19,561

Step by Step Solution

1. Step 1: Write the proportion equation
   10,550 : 19,561 = 19,561 : x
2. Step 2: Convert to fraction form
   10,550/19,561 = 19,561/x
3. Step 3: Cross multiply
   10,550x = 19,561 × 19,561
4. Step 4: Simplify right side
   10,550x = 382,632,721
5. Step 5: Solve for x
   x = 382,632,721/10,550
6. Step 6: Final answer
   x = 36,268.50