Finding the Third Proportional to 10,329.19 and 13,640.91

Step by Step Solution

1. Step 1: Write the proportion equation
   10,329.19 : 13,640.91 = 13,640.91 : x
2. Step 2: Convert to fraction form
   10,329.19/13,640.91 = 13,640.91/x
3. Step 3: Cross multiply
   10,329.19x = 13,640.91 × 13,640.91
4. Step 4: Simplify right side
   10,329.19x = 186,074,323.32
5. Step 5: Solve for x
   x = 186,074,323.32/10,329.19
6. Step 6: Final answer
   x = 18,014.42