Finding the Third Proportional to 21,646 and 47,262.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,646 : 47,262.50 = 47,262.50 : x
2. Step 2: Convert to fraction form
   21,646/47,262.50 = 47,262.50/x
3. Step 3: Cross multiply
   21,646x = 47,262.50 × 47,262.50
4. Step 4: Simplify right side
   21,646x = 2,233,743,906.25
5. Step 5: Solve for x
   x = 2,233,743,906.25/21,646
6. Step 6: Final answer
   x = 103,194.30