Finding the Third Proportional to 19,456 and 30,400

Step by Step Solution

1. Step 1: Write the proportion equation
   19,456 : 30,400 = 30,400 : x
2. Step 2: Convert to fraction form
   19,456/30,400 = 30,400/x
3. Step 3: Cross multiply
   19,456x = 30,400 × 30,400
4. Step 4: Simplify right side
   19,456x = 924,160,000
5. Step 5: Solve for x
   x = 924,160,000/19,456
6. Step 6: Final answer
   x = 47,500