Finding the Third Proportional to 9,510 and 14,638.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,510 : 14,638.50 = 14,638.50 : x
2. Step 2: Convert to fraction form
   9,510/14,638.50 = 14,638.50/x
3. Step 3: Cross multiply
   9,510x = 14,638.50 × 14,638.50
4. Step 4: Simplify right side
   9,510x = 214,285,682.25
5. Step 5: Solve for x
   x = 214,285,682.25/9,510
6. Step 6: Final answer
   x = 22,532.67