Finding the Third Proportional to 21,649 and 47,308

Step by Step Solution

1. Step 1: Write the proportion equation
   21,649 : 47,308 = 47,308 : x
2. Step 2: Convert to fraction form
   21,649/47,308 = 47,308/x
3. Step 3: Cross multiply
   21,649x = 47,308 × 47,308
4. Step 4: Simplify right side
   21,649x = 2,238,046,864
5. Step 5: Solve for x
   x = 2,238,046,864/21,649
6. Step 6: Final answer
   x = 103,378.76