Finding the Third Proportional to 13,638.38 and 20,822.06

Step by Step Solution

1. Step 1: Write the proportion equation
   13,638.38 : 20,822.06 = 20,822.06 : x
2. Step 2: Convert to fraction form
   13,638.38/20,822.06 = 20,822.06/x
3. Step 3: Cross multiply
   13,638.38x = 20,822.06 × 20,822.06
4. Step 4: Simplify right side
   13,638.38x = 433,558,286.75
5. Step 5: Solve for x
   x = 433,558,286.75/13,638.38
6. Step 6: Final answer
   x = 31,789.59