Finding the Third Proportional to 26,456 and 42,536

Step by Step Solution

1. Step 1: Write the proportion equation
   26,456 : 42,536 = 42,536 : x
2. Step 2: Convert to fraction form
   26,456/42,536 = 42,536/x
3. Step 3: Cross multiply
   26,456x = 42,536 × 42,536
4. Step 4: Simplify right side
   26,456x = 1,809,311,296
5. Step 5: Solve for x
   x = 1,809,311,296/26,456
6. Step 6: Final answer
   x = 68,389.45