Finding the Third Proportional to 6,409.13 and 13,870.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,409.13 : 13,870.69 = 13,870.69 : x
2. Step 2: Convert to fraction form
   6,409.13/13,870.69 = 13,870.69/x
3. Step 3: Cross multiply
   6,409.13x = 13,870.69 × 13,870.69
4. Step 4: Simplify right side
   6,409.13x = 192,395,971.72
5. Step 5: Solve for x
   x = 192,395,971.72/6,409.13
6. Step 6: Final answer
   x = 30,019.07