Finding the Third Proportional to 21,081 and 31,759.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,081 : 31,759.50 = 31,759.50 : x
2. Step 2: Convert to fraction form
   21,081/31,759.50 = 31,759.50/x
3. Step 3: Cross multiply
   21,081x = 31,759.50 × 31,759.50
4. Step 4: Simplify right side
   21,081x = 1,008,665,840.25
5. Step 5: Solve for x
   x = 1,008,665,840.25/21,081
6. Step 6: Final answer
   x = 47,847.15