Finding the Third Proportional to 6,446.25 and 13,978.13

Step by Step Solution

1. Step 1: Write the proportion equation
   6,446.25 : 13,978.13 = 13,978.13 : x
2. Step 2: Convert to fraction form
   6,446.25/13,978.13 = 13,978.13/x
3. Step 3: Cross multiply
   6,446.25x = 13,978.13 × 13,978.13
4. Step 4: Simplify right side
   6,446.25x = 195,387,978.52
5. Step 5: Solve for x
   x = 195,387,978.52/6,446.25
6. Step 6: Final answer
   x = 30,310.33