Finding the Third Proportional to 21,974 and 51,850

Step by Step Solution

1. Step 1: Write the proportion equation
   21,974 : 51,850 = 51,850 : x
2. Step 2: Convert to fraction form
   21,974/51,850 = 51,850/x
3. Step 3: Cross multiply
   21,974x = 51,850 × 51,850
4. Step 4: Simplify right side
   21,974x = 2,688,422,500
5. Step 5: Solve for x
   x = 2,688,422,500/21,974
6. Step 6: Final answer
   x = 122,345.61