Finding the Third Proportional to 16,238 and 35,392

Step by Step Solution

1. Step 1: Write the proportion equation
   16,238 : 35,392 = 35,392 : x
2. Step 2: Convert to fraction form
   16,238/35,392 = 35,392/x
3. Step 3: Cross multiply
   16,238x = 35,392 × 35,392
4. Step 4: Simplify right side
   16,238x = 1,252,593,664
5. Step 5: Solve for x
   x = 1,252,593,664/16,238
6. Step 6: Final answer
   x = 77,139.65