Finding the Third Proportional to 9,636 and 12,594

Step by Step Solution

1. Step 1: Write the proportion equation
   9,636 : 12,594 = 12,594 : x
2. Step 2: Convert to fraction form
   9,636/12,594 = 12,594/x
3. Step 3: Cross multiply
   9,636x = 12,594 × 12,594
4. Step 4: Simplify right side
   9,636x = 158,608,836
5. Step 5: Solve for x
   x = 158,608,836/9,636
6. Step 6: Final answer
   x = 16,460.03