Finding the Third Proportional to 10,180.69 and 13,418.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,180.69 : 13,418.16 = 13,418.16 : x
2. Step 2: Convert to fraction form
   10,180.69/13,418.16 = 13,418.16/x
3. Step 3: Cross multiply
   10,180.69x = 13,418.16 × 13,418.16
4. Step 4: Simplify right side
   10,180.69x = 180,046,917.15
5. Step 5: Solve for x
   x = 180,046,917.15/10,180.69
6. Step 6: Final answer
   x = 17,685.14