Finding the Third Proportional to 25,834 and 55,880

Step by Step Solution

1. Step 1: Write the proportion equation
   25,834 : 55,880 = 55,880 : x
2. Step 2: Convert to fraction form
   25,834/55,880 = 55,880/x
3. Step 3: Cross multiply
   25,834x = 55,880 × 55,880
4. Step 4: Simplify right side
   25,834x = 3,122,574,400
5. Step 5: Solve for x
   x = 3,122,574,400/25,834
6. Step 6: Final answer
   x = 120,870.73