Finding the Third Proportional to 37,764 and 77,166

Step by Step Solution

1. Step 1: Write the proportion equation
   37,764 : 77,166 = 77,166 : x
2. Step 2: Convert to fraction form
   37,764/77,166 = 77,166/x
3. Step 3: Cross multiply
   37,764x = 77,166 × 77,166
4. Step 4: Simplify right side
   37,764x = 5,954,591,556
5. Step 5: Solve for x
   x = 5,954,591,556/37,764
6. Step 6: Final answer
   x = 157,679.05