Finding the Third Proportional to 19,394 and 41,096

Step by Step Solution

1. Step 1: Write the proportion equation
   19,394 : 41,096 = 41,096 : x
2. Step 2: Convert to fraction form
   19,394/41,096 = 41,096/x
3. Step 3: Cross multiply
   19,394x = 41,096 × 41,096
4. Step 4: Simplify right side
   19,394x = 1,688,881,216
5. Step 5: Solve for x
   x = 1,688,881,216/19,394
6. Step 6: Final answer
   x = 87,082.67