Finding the Third Proportional to 10,705 and 23,251

Step by Step Solution

1. Step 1: Write the proportion equation
   10,705 : 23,251 = 23,251 : x
2. Step 2: Convert to fraction form
   10,705/23,251 = 23,251/x
3. Step 3: Cross multiply
   10,705x = 23,251 × 23,251
4. Step 4: Simplify right side
   10,705x = 540,609,001
5. Step 5: Solve for x
   x = 540,609,001/10,705
6. Step 6: Final answer
   x = 50,500.61