Finding the Third Proportional to 10,905 and 23,082

Step by Step Solution

1. Step 1: Write the proportion equation
   10,905 : 23,082 = 23,082 : x
2. Step 2: Convert to fraction form
   10,905/23,082 = 23,082/x
3. Step 3: Cross multiply
   10,905x = 23,082 × 23,082
4. Step 4: Simplify right side
   10,905x = 532,778,724
5. Step 5: Solve for x
   x = 532,778,724/10,905
6. Step 6: Final answer
   x = 48,856.37