Finding the Third Proportional to 10,262 and 22,093

Step by Step Solution

1. Step 1: Write the proportion equation
   10,262 : 22,093 = 22,093 : x
2. Step 2: Convert to fraction form
   10,262/22,093 = 22,093/x
3. Step 3: Cross multiply
   10,262x = 22,093 × 22,093
4. Step 4: Simplify right side
   10,262x = 488,100,649
5. Step 5: Solve for x
   x = 488,100,649/10,262
6. Step 6: Final answer
   x = 47,563.89