Finding the Third Proportional to 6,696 and 17,640

Step by Step Solution

1. Step 1: Write the proportion equation
   6,696 : 17,640 = 17,640 : x
2. Step 2: Convert to fraction form
   6,696/17,640 = 17,640/x
3. Step 3: Cross multiply
   6,696x = 17,640 × 17,640
4. Step 4: Simplify right side
   6,696x = 311,169,600
5. Step 5: Solve for x
   x = 311,169,600/6,696
6. Step 6: Final answer
   x = 46,470.97