Finding the Third Proportional to 13,965.75 and 21,596.63

Step by Step Solution

1. Step 1: Write the proportion equation
   13,965.75 : 21,596.63 = 21,596.63 : x
2. Step 2: Convert to fraction form
   13,965.75/21,596.63 = 21,596.63/x
3. Step 3: Cross multiply
   13,965.75x = 21,596.63 × 21,596.63
4. Step 4: Simplify right side
   13,965.75x = 466,414,211.39
5. Step 5: Solve for x
   x = 466,414,211.39/13,965.75
6. Step 6: Final answer
   x = 33,397.00