Finding the Third Proportional to 9,586.75 and 19,638.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,586.75 : 19,638.50 = 19,638.50 : x
2. Step 2: Convert to fraction form
   9,586.75/19,638.50 = 19,638.50/x
3. Step 3: Cross multiply
   9,586.75x = 19,638.50 × 19,638.50
4. Step 4: Simplify right side
   9,586.75x = 385,670,682.25
5. Step 5: Solve for x
   x = 385,670,682.25/9,586.75
6. Step 6: Final answer
   x = 40,229.55