Finding the Third Proportional to 6,365.25 and 14,522.63

Step by Step Solution

1. Step 1: Write the proportion equation
   6,365.25 : 14,522.63 = 14,522.63 : x
2. Step 2: Convert to fraction form
   6,365.25/14,522.63 = 14,522.63/x
3. Step 3: Cross multiply
   6,365.25x = 14,522.63 × 14,522.63
4. Step 4: Simplify right side
   6,365.25x = 210,906,636.89
5. Step 5: Solve for x
   x = 210,906,636.89/6,365.25
6. Step 6: Final answer
   x = 33,134.07