Finding the Third Proportional to 25,888 and 52,880

Step by Step Solution

1. Step 1: Write the proportion equation
   25,888 : 52,880 = 52,880 : x
2. Step 2: Convert to fraction form
   25,888/52,880 = 52,880/x
3. Step 3: Cross multiply
   25,888x = 52,880 × 52,880
4. Step 4: Simplify right side
   25,888x = 2,796,294,400
5. Step 5: Solve for x
   x = 2,796,294,400/25,888
6. Step 6: Final answer
   x = 108,015.08