Finding the Third Proportional to 16,074 and 35,274

Step by Step Solution

1. Step 1: Write the proportion equation
   16,074 : 35,274 = 35,274 : x
2. Step 2: Convert to fraction form
   16,074/35,274 = 35,274/x
3. Step 3: Cross multiply
   16,074x = 35,274 × 35,274
4. Step 4: Simplify right side
   16,074x = 1,244,255,076
5. Step 5: Solve for x
   x = 1,244,255,076/16,074
6. Step 6: Final answer
   x = 77,407.93