Finding the Third Proportional to 37,185 and 76,182

Step by Step Solution

1. Step 1: Write the proportion equation
   37,185 : 76,182 = 76,182 : x
2. Step 2: Convert to fraction form
   37,185/76,182 = 76,182/x
3. Step 3: Cross multiply
   37,185x = 76,182 × 76,182
4. Step 4: Simplify right side
   37,185x = 5,803,697,124
5. Step 5: Solve for x
   x = 5,803,697,124/37,185
6. Step 6: Final answer
   x = 156,076.30