Finding the Third Proportional to 25,184 and 35,298

Step by Step Solution

1. Step 1: Write the proportion equation
   25,184 : 35,298 = 35,298 : x
2. Step 2: Convert to fraction form
   25,184/35,298 = 35,298/x
3. Step 3: Cross multiply
   25,184x = 35,298 × 35,298
4. Step 4: Simplify right side
   25,184x = 1,245,948,804
5. Step 5: Solve for x
   x = 1,245,948,804/25,184
6. Step 6: Final answer
   x = 49,473.82