Finding the Third Proportional to 37,766 and 77,170

Step by Step Solution

1. Step 1: Write the proportion equation
   37,766 : 77,170 = 77,170 : x
2. Step 2: Convert to fraction form
   37,766/77,170 = 77,170/x
3. Step 3: Cross multiply
   37,766x = 77,170 × 77,170
4. Step 4: Simplify right side
   37,766x = 5,955,208,900
5. Step 5: Solve for x
   x = 5,955,208,900/37,766
6. Step 6: Final answer
   x = 157,687.04