Finding the Third Proportional to 25,974 and 37,015

Step by Step Solution

1. Step 1: Write the proportion equation
   25,974 : 37,015 = 37,015 : x
2. Step 2: Convert to fraction form
   25,974/37,015 = 37,015/x
3. Step 3: Cross multiply
   25,974x = 37,015 × 37,015
4. Step 4: Simplify right side
   25,974x = 1,370,110,225
5. Step 5: Solve for x
   x = 1,370,110,225/25,974
6. Step 6: Final answer
   x = 52,749.30