Finding the Third Proportional to 6,077.25 and 13,443.75

Step by Step Solution

1. Step 1: Write the proportion equation
   6,077.25 : 13,443.75 = 13,443.75 : x
2. Step 2: Convert to fraction form
   6,077.25/13,443.75 = 13,443.75/x
3. Step 3: Cross multiply
   6,077.25x = 13,443.75 × 13,443.75
4. Step 4: Simplify right side
   6,077.25x = 180,734,414.06
5. Step 5: Solve for x
   x = 180,734,414.06/6,077.25
6. Step 6: Final answer
   x = 29,739.51