Finding the Third Proportional to 9,606.50 and 14,348.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,606.50 : 14,348.75 = 14,348.75 : x
2. Step 2: Convert to fraction form
   9,606.50/14,348.75 = 14,348.75/x
3. Step 3: Cross multiply
   9,606.50x = 14,348.75 × 14,348.75
4. Step 4: Simplify right side
   9,606.50x = 205,886,626.56
5. Step 5: Solve for x
   x = 205,886,626.56/9,606.50
6. Step 6: Final answer
   x = 21,432.01