Finding the Third Proportional to 37,206 and 76,392

Step by Step Solution

1. Step 1: Write the proportion equation
   37,206 : 76,392 = 76,392 : x
2. Step 2: Convert to fraction form
   37,206/76,392 = 76,392/x
3. Step 3: Cross multiply
   37,206x = 76,392 × 76,392
4. Step 4: Simplify right side
   37,206x = 5,835,737,664
5. Step 5: Solve for x
   x = 5,835,737,664/37,206
6. Step 6: Final answer
   x = 156,849.37