Finding the Third Proportional to 9,594 and 14,616

Step by Step Solution

1. Step 1: Write the proportion equation
   9,594 : 14,616 = 14,616 : x
2. Step 2: Convert to fraction form
   9,594/14,616 = 14,616/x
3. Step 3: Cross multiply
   9,594x = 14,616 × 14,616
4. Step 4: Simplify right side
   9,594x = 213,627,456
5. Step 5: Solve for x
   x = 213,627,456/9,594
6. Step 6: Final answer
   x = 22,266.78