Finding the Third Proportional to 19,674 and 42,264

Step by Step Solution

1. Step 1: Write the proportion equation
   19,674 : 42,264 = 42,264 : x
2. Step 2: Convert to fraction form
   19,674/42,264 = 42,264/x
3. Step 3: Cross multiply
   19,674x = 42,264 × 42,264
4. Step 4: Simplify right side
   19,674x = 1,786,245,696
5. Step 5: Solve for x
   x = 1,786,245,696/19,674
6. Step 6: Final answer
   x = 90,792.20