Finding the Third Proportional to 21,982 and 51,857.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,982 : 51,857.50 = 51,857.50 : x
2. Step 2: Convert to fraction form
   21,982/51,857.50 = 51,857.50/x
3. Step 3: Cross multiply
   21,982x = 51,857.50 × 51,857.50
4. Step 4: Simplify right side
   21,982x = 2,689,200,306.25
5. Step 5: Solve for x
   x = 2,689,200,306.25/21,982
6. Step 6: Final answer
   x = 122,336.47