Finding the Third Proportional to 19,256 and 41,488

Step by Step Solution

1. Step 1: Write the proportion equation
   19,256 : 41,488 = 41,488 : x
2. Step 2: Convert to fraction form
   19,256/41,488 = 41,488/x
3. Step 3: Cross multiply
   19,256x = 41,488 × 41,488
4. Step 4: Simplify right side
   19,256x = 1,721,254,144
5. Step 5: Solve for x
   x = 1,721,254,144/19,256
6. Step 6: Final answer
   x = 89,387.94