Finding the Third Proportional to 26,456 and 35,890

Step by Step Solution

1. Step 1: Write the proportion equation
   26,456 : 35,890 = 35,890 : x
2. Step 2: Convert to fraction form
   26,456/35,890 = 35,890/x
3. Step 3: Cross multiply
   26,456x = 35,890 × 35,890
4. Step 4: Simplify right side
   26,456x = 1,288,092,100
5. Step 5: Solve for x
   x = 1,288,092,100/26,456
6. Step 6: Final answer
   x = 48,688.09