Finding the Third Proportional to 6,374.06 and 14,022.56

Step by Step Solution

1. Step 1: Write the proportion equation
   6,374.06 : 14,022.56 = 14,022.56 : x
2. Step 2: Convert to fraction form
   6,374.06/14,022.56 = 14,022.56/x
3. Step 3: Cross multiply
   6,374.06x = 14,022.56 × 14,022.56
4. Step 4: Simplify right side
   6,374.06x = 196,632,259.07
5. Step 5: Solve for x
   x = 196,632,259.07/6,374.06
6. Step 6: Final answer
   x = 30,848.81