Finding the Third Proportional to 10,600.50 and 16,782.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,600.50 : 16,782.75 = 16,782.75 : x
2. Step 2: Convert to fraction form
   10,600.50/16,782.75 = 16,782.75/x
3. Step 3: Cross multiply
   10,600.50x = 16,782.75 × 16,782.75
4. Step 4: Simplify right side
   10,600.50x = 281,660,697.56
5. Step 5: Solve for x
   x = 281,660,697.56/10,600.50
6. Step 6: Final answer
   x = 26,570.51