Finding the Third Proportional to 21,882 and 24,137.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,882 : 24,137.50 = 24,137.50 : x
2. Step 2: Convert to fraction form
   21,882/24,137.50 = 24,137.50/x
3. Step 3: Cross multiply
   21,882x = 24,137.50 × 24,137.50
4. Step 4: Simplify right side
   21,882x = 582,618,906.25
5. Step 5: Solve for x
   x = 582,618,906.25/21,882
6. Step 6: Final answer
   x = 26,625.49