Finding the Third Proportional to 21,291 and 49,729.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,291 : 49,729.50 = 49,729.50 : x
2. Step 2: Convert to fraction form
   21,291/49,729.50 = 49,729.50/x
3. Step 3: Cross multiply
   21,291x = 49,729.50 × 49,729.50
4. Step 4: Simplify right side
   21,291x = 2,473,023,170.25
5. Step 5: Solve for x
   x = 2,473,023,170.25/21,291
6. Step 6: Final answer
   x = 116,153.45