Finding the Third Proportional to 6,405.25 and 13,977.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,405.25 : 13,977.50 = 13,977.50 : x
2. Step 2: Convert to fraction form
   6,405.25/13,977.50 = 13,977.50/x
3. Step 3: Cross multiply
   6,405.25x = 13,977.50 × 13,977.50
4. Step 4: Simplify right side
   6,405.25x = 195,370,506.25
5. Step 5: Solve for x
   x = 195,370,506.25/6,405.25
6. Step 6: Final answer
   x = 30,501.62