Finding the Third Proportional to 10,774.50 and 16,642

Step by Step Solution

1. Step 1: Write the proportion equation
   10,774.50 : 16,642 = 16,642 : x
2. Step 2: Convert to fraction form
   10,774.50/16,642 = 16,642/x
3. Step 3: Cross multiply
   10,774.50x = 16,642 × 16,642
4. Step 4: Simplify right side
   10,774.50x = 276,956,164
5. Step 5: Solve for x
   x = 276,956,164/10,774.50
6. Step 6: Final answer
   x = 25,704.78