Finding the Third Proportional to 13,641.75 and 16,638.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,641.75 : 16,638.75 = 16,638.75 : x
2. Step 2: Convert to fraction form
   13,641.75/16,638.75 = 16,638.75/x
3. Step 3: Cross multiply
   13,641.75x = 16,638.75 × 16,638.75
4. Step 4: Simplify right side
   13,641.75x = 276,848,001.56
5. Step 5: Solve for x
   x = 276,848,001.56/13,641.75
6. Step 6: Final answer
   x = 20,294.17