Finding the Third Proportional to 25,978 and 35,726

Step by Step Solution

1. Step 1: Write the proportion equation
   25,978 : 35,726 = 35,726 : x
2. Step 2: Convert to fraction form
   25,978/35,726 = 35,726/x
3. Step 3: Cross multiply
   25,978x = 35,726 × 35,726
4. Step 4: Simplify right side
   25,978x = 1,276,347,076
5. Step 5: Solve for x
   x = 1,276,347,076/25,978
6. Step 6: Final answer
   x = 49,131.85