Finding the Third Proportional to 21,729 and 34,537.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,729 : 34,537.50 = 34,537.50 : x
2. Step 2: Convert to fraction form
   21,729/34,537.50 = 34,537.50/x
3. Step 3: Cross multiply
   21,729x = 34,537.50 × 34,537.50
4. Step 4: Simplify right side
   21,729x = 1,192,838,906.25
5. Step 5: Solve for x
   x = 1,192,838,906.25/21,729
6. Step 6: Final answer
   x = 54,896.17