Finding the Third Proportional to 7,640 and 10,176

Step by Step Solution

1. Step 1: Write the proportion equation
   7,640 : 10,176 = 10,176 : x
2. Step 2: Convert to fraction form
   7,640/10,176 = 10,176/x
3. Step 3: Cross multiply
   7,640x = 10,176 × 10,176
4. Step 4: Simplify right side
   7,640x = 103,550,976
5. Step 5: Solve for x
   x = 103,550,976/7,640
6. Step 6: Final answer
   x = 13,553.79