Finding the Third Proportional to 26,278 and 35,404

Step by Step Solution

1. Step 1: Write the proportion equation
   26,278 : 35,404 = 35,404 : x
2. Step 2: Convert to fraction form
   26,278/35,404 = 35,404/x
3. Step 3: Cross multiply
   26,278x = 35,404 × 35,404
4. Step 4: Simplify right side
   26,278x = 1,253,443,216
5. Step 5: Solve for x
   x = 1,253,443,216/26,278
6. Step 6: Final answer
   x = 47,699.34