Finding the Third Proportional to 37,166 and 76,144

Step by Step Solution

1. Step 1: Write the proportion equation
   37,166 : 76,144 = 76,144 : x
2. Step 2: Convert to fraction form
   37,166/76,144 = 76,144/x
3. Step 3: Cross multiply
   37,166x = 76,144 × 76,144
4. Step 4: Simplify right side
   37,166x = 5,797,908,736
5. Step 5: Solve for x
   x = 5,797,908,736/37,166
6. Step 6: Final answer
   x = 156,000.34