Finding the Third Proportional to 25,082 and 53,410

Step by Step Solution

1. Step 1: Write the proportion equation
   25,082 : 53,410 = 53,410 : x
2. Step 2: Convert to fraction form
   25,082/53,410 = 53,410/x
3. Step 3: Cross multiply
   25,082x = 53,410 × 53,410
4. Step 4: Simplify right side
   25,082x = 2,852,628,100
5. Step 5: Solve for x
   x = 2,852,628,100/25,082
6. Step 6: Final answer
   x = 113,732.08