Finding the Third Proportional to 10,678.50 and 17,004.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,678.50 : 17,004.75 = 17,004.75 : x
2. Step 2: Convert to fraction form
   10,678.50/17,004.75 = 17,004.75/x
3. Step 3: Cross multiply
   10,678.50x = 17,004.75 × 17,004.75
4. Step 4: Simplify right side
   10,678.50x = 289,161,522.56
5. Step 5: Solve for x
   x = 289,161,522.56/10,678.50
6. Step 6: Final answer
   x = 27,078.85