Finding the Third Proportional to 25,758 and 37,881

Step by Step Solution

1. Step 1: Write the proportion equation
   25,758 : 37,881 = 37,881 : x
2. Step 2: Convert to fraction form
   25,758/37,881 = 37,881/x
3. Step 3: Cross multiply
   25,758x = 37,881 × 37,881
4. Step 4: Simplify right side
   25,758x = 1,434,970,161
5. Step 5: Solve for x
   x = 1,434,970,161/25,758
6. Step 6: Final answer
   x = 55,709.69