Finding the Third Proportional to 35,974 and 54,460

Step by Step Solution

1. Step 1: Write the proportion equation
   35,974 : 54,460 = 54,460 : x
2. Step 2: Convert to fraction form
   35,974/54,460 = 54,460/x
3. Step 3: Cross multiply
   35,974x = 54,460 × 54,460
4. Step 4: Simplify right side
   35,974x = 2,965,891,600
5. Step 5: Solve for x
   x = 2,965,891,600/35,974
6. Step 6: Final answer
   x = 82,445.42