Finding the Third Proportional to 9,456 and 20,358

Step by Step Solution

1. Step 1: Write the proportion equation
   9,456 : 20,358 = 20,358 : x
2. Step 2: Convert to fraction form
   9,456/20,358 = 20,358/x
3. Step 3: Cross multiply
   9,456x = 20,358 × 20,358
4. Step 4: Simplify right side
   9,456x = 414,448,164
5. Step 5: Solve for x
   x = 414,448,164/9,456
6. Step 6: Final answer
   x = 43,829.12