Finding the Third Proportional to 19,541 and 46,082

Step by Step Solution

1. Step 1: Write the proportion equation
   19,541 : 46,082 = 46,082 : x
2. Step 2: Convert to fraction form
   19,541/46,082 = 46,082/x
3. Step 3: Cross multiply
   19,541x = 46,082 × 46,082
4. Step 4: Simplify right side
   19,541x = 2,123,550,724
5. Step 5: Solve for x
   x = 2,123,550,724/19,541
6. Step 6: Final answer
   x = 108,671.55