Finding the Third Proportional to 5,678 and 10,078

Step by Step Solution

1. Step 1: Write the proportion equation
   5,678 : 10,078 = 10,078 : x
2. Step 2: Convert to fraction form
   5,678/10,078 = 10,078/x
3. Step 3: Cross multiply
   5,678x = 10,078 × 10,078
4. Step 4: Simplify right side
   5,678x = 101,566,084
5. Step 5: Solve for x
   x = 101,566,084/5,678
6. Step 6: Final answer
   x = 17,887.65