Finding the Third Proportional to 6,409.50 and 13,912.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,409.50 : 13,912.50 = 13,912.50 : x
2. Step 2: Convert to fraction form
   6,409.50/13,912.50 = 13,912.50/x
3. Step 3: Cross multiply
   6,409.50x = 13,912.50 × 13,912.50
4. Step 4: Simplify right side
   6,409.50x = 193,557,656.25
5. Step 5: Solve for x
   x = 193,557,656.25/6,409.50
6. Step 6: Final answer
   x = 30,198.56