Finding the Third Proportional to 26,563 and 41,456

Step by Step Solution

1. Step 1: Write the proportion equation
   26,563 : 41,456 = 41,456 : x
2. Step 2: Convert to fraction form
   26,563/41,456 = 41,456/x
3. Step 3: Cross multiply
   26,563x = 41,456 × 41,456
4. Step 4: Simplify right side
   26,563x = 1,718,599,936
5. Step 5: Solve for x
   x = 1,718,599,936/26,563
6. Step 6: Final answer
   x = 64,699.02