Finding the Third Proportional to 16,074 and 35,228

Step by Step Solution

1. Step 1: Write the proportion equation
   16,074 : 35,228 = 35,228 : x
2. Step 2: Convert to fraction form
   16,074/35,228 = 35,228/x
3. Step 3: Cross multiply
   16,074x = 35,228 × 35,228
4. Step 4: Simplify right side
   16,074x = 1,241,011,984
5. Step 5: Solve for x
   x = 1,241,011,984/16,074
6. Step 6: Final answer
   x = 77,206.17