Finding the Third Proportional to 35,928 and 76,392

Step by Step Solution

1. Step 1: Write the proportion equation
   35,928 : 76,392 = 76,392 : x
2. Step 2: Convert to fraction form
   35,928/76,392 = 76,392/x
3. Step 3: Cross multiply
   35,928x = 76,392 × 76,392
4. Step 4: Simplify right side
   35,928x = 5,835,737,664
5. Step 5: Solve for x
   x = 5,835,737,664/35,928
6. Step 6: Final answer
   x = 162,428.68