Finding the Third Proportional to 21,721 and 47,178.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,721 : 47,178.50 = 47,178.50 : x
2. Step 2: Convert to fraction form
   21,721/47,178.50 = 47,178.50/x
3. Step 3: Cross multiply
   21,721x = 47,178.50 × 47,178.50
4. Step 4: Simplify right side
   21,721x = 2,225,810,862.25
5. Step 5: Solve for x
   x = 2,225,810,862.25/21,721
6. Step 6: Final answer
   x = 102,472.76