Finding the Third Proportional to 26,341 and 56,384

Step by Step Solution

1. Step 1: Write the proportion equation
   26,341 : 56,384 = 56,384 : x
2. Step 2: Convert to fraction form
   26,341/56,384 = 56,384/x
3. Step 3: Cross multiply
   26,341x = 56,384 × 56,384
4. Step 4: Simplify right side
   26,341x = 3,179,155,456
5. Step 5: Solve for x
   x = 3,179,155,456/26,341
6. Step 6: Final answer
   x = 120,692.28