Finding the Third Proportional to 19,586 and 41,188

Step by Step Solution

1. Step 1: Write the proportion equation
   19,586 : 41,188 = 41,188 : x
2. Step 2: Convert to fraction form
   19,586/41,188 = 41,188/x
3. Step 3: Cross multiply
   19,586x = 41,188 × 41,188
4. Step 4: Simplify right side
   19,586x = 1,696,451,344
5. Step 5: Solve for x
   x = 1,696,451,344/19,586
6. Step 6: Final answer
   x = 86,615.51