Finding the Third Proportional to 19,648 and 41,572

Step by Step Solution

1. Step 1: Write the proportion equation
   19,648 : 41,572 = 41,572 : x
2. Step 2: Convert to fraction form
   19,648/41,572 = 41,572/x
3. Step 3: Cross multiply
   19,648x = 41,572 × 41,572
4. Step 4: Simplify right side
   19,648x = 1,728,231,184
5. Step 5: Solve for x
   x = 1,728,231,184/19,648
6. Step 6: Final answer
   x = 87,959.65