Finding the Third Proportional to 3,407.06 and 7,102.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,407.06 : 7,102.69 = 7,102.69 : x
2. Step 2: Convert to fraction form
   3,407.06/7,102.69 = 7,102.69/x
3. Step 3: Cross multiply
   3,407.06x = 7,102.69 × 7,102.69
4. Step 4: Simplify right side
   3,407.06x = 50,448,169.72
5. Step 5: Solve for x
   x = 50,448,169.72/3,407.06
6. Step 6: Final answer
   x = 14,806.94