Finding the Third Proportional to 9,625.50 and 16,294.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,625.50 : 16,294.50 = 16,294.50 : x
2. Step 2: Convert to fraction form
   9,625.50/16,294.50 = 16,294.50/x
3. Step 3: Cross multiply
   9,625.50x = 16,294.50 × 16,294.50
4. Step 4: Simplify right side
   9,625.50x = 265,510,730.25
5. Step 5: Solve for x
   x = 265,510,730.25/9,625.50
6. Step 6: Final answer
   x = 27,584.10