Finding the Third Proportional to 21,729 and 47,608.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,729 : 47,608.50 = 47,608.50 : x
2. Step 2: Convert to fraction form
   21,729/47,608.50 = 47,608.50/x
3. Step 3: Cross multiply
   21,729x = 47,608.50 × 47,608.50
4. Step 4: Simplify right side
   21,729x = 2,266,569,272.25
5. Step 5: Solve for x
   x = 2,266,569,272.25/21,729
6. Step 6: Final answer
   x = 104,310.80