Finding the Third Proportional to 21,736 and 47,510

Step by Step Solution

1. Step 1: Write the proportion equation
   21,736 : 47,510 = 47,510 : x
2. Step 2: Convert to fraction form
   21,736/47,510 = 47,510/x
3. Step 3: Cross multiply
   21,736x = 47,510 × 47,510
4. Step 4: Simplify right side
   21,736x = 2,257,200,100
5. Step 5: Solve for x
   x = 2,257,200,100/21,736
6. Step 6: Final answer
   x = 103,846.16