Finding the Third Proportional to 12,636 and 19,558

Step by Step Solution

1. Step 1: Write the proportion equation
   12,636 : 19,558 = 19,558 : x
2. Step 2: Convert to fraction form
   12,636/19,558 = 19,558/x
3. Step 3: Cross multiply
   12,636x = 19,558 × 19,558
4. Step 4: Simplify right side
   12,636x = 382,515,364
5. Step 5: Solve for x
   x = 382,515,364/12,636
6. Step 6: Final answer
   x = 30,271.87