Finding the Third Proportional to 9,625.50 and 14,105.81

Step by Step Solution

1. Step 1: Write the proportion equation
   9,625.50 : 14,105.81 = 14,105.81 : x
2. Step 2: Convert to fraction form
   9,625.50/14,105.81 = 14,105.81/x
3. Step 3: Cross multiply
   9,625.50x = 14,105.81 × 14,105.81
4. Step 4: Simplify right side
   9,625.50x = 198,973,946.29
5. Step 5: Solve for x
   x = 198,973,946.29/9,625.50
6. Step 6: Final answer
   x = 20,671.54