Finding the Third Proportional to 10,372 and 22,850

Step by Step Solution

1. Step 1: Write the proportion equation
   10,372 : 22,850 = 22,850 : x
2. Step 2: Convert to fraction form
   10,372/22,850 = 22,850/x
3. Step 3: Cross multiply
   10,372x = 22,850 × 22,850
4. Step 4: Simplify right side
   10,372x = 522,122,500
5. Step 5: Solve for x
   x = 522,122,500/10,372
6. Step 6: Final answer
   x = 50,339.62