Finding the Third Proportional to 13,644.70 and 20,831.55

Step by Step Solution

1. Step 1: Write the proportion equation
   13,644.70 : 20,831.55 = 20,831.55 : x
2. Step 2: Convert to fraction form
   13,644.70/20,831.55 = 20,831.55/x
3. Step 3: Cross multiply
   13,644.70x = 20,831.55 × 20,831.55
4. Step 4: Simplify right side
   13,644.70x = 433,953,670.70
5. Step 5: Solve for x
   x = 433,953,670.70/13,644.70
6. Step 6: Final answer
   x = 31,803.82