Finding the Third Proportional to 37,760 and 77,164

Step by Step Solution

1. Step 1: Write the proportion equation
   37,760 : 77,164 = 77,164 : x
2. Step 2: Convert to fraction form
   37,760/77,164 = 77,164/x
3. Step 3: Cross multiply
   37,760x = 77,164 × 77,164
4. Step 4: Simplify right side
   37,760x = 5,954,282,896
5. Step 5: Solve for x
   x = 5,954,282,896/37,760
6. Step 6: Final answer
   x = 157,687.58