Finding the Third Proportional to 9,796.50 and 16,638.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,796.50 : 16,638.75 = 16,638.75 : x
2. Step 2: Convert to fraction form
   9,796.50/16,638.75 = 16,638.75/x
3. Step 3: Cross multiply
   9,796.50x = 16,638.75 × 16,638.75
4. Step 4: Simplify right side
   9,796.50x = 276,848,001.56
5. Step 5: Solve for x
   x = 276,848,001.56/9,796.50
6. Step 6: Final answer
   x = 28,259.89