Finding the Third Proportional to 10,795.50 and 16,674.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,795.50 : 16,674.75 = 16,674.75 : x
2. Step 2: Convert to fraction form
   10,795.50/16,674.75 = 16,674.75/x
3. Step 3: Cross multiply
   10,795.50x = 16,674.75 × 16,674.75
4. Step 4: Simplify right side
   10,795.50x = 278,047,287.56
5. Step 5: Solve for x
   x = 278,047,287.56/10,795.50
6. Step 6: Final answer
   x = 25,755.85