Finding the Third Proportional to 37,742 and 77,122

Step by Step Solution

1. Step 1: Write the proportion equation
   37,742 : 77,122 = 77,122 : x
2. Step 2: Convert to fraction form
   37,742/77,122 = 77,122/x
3. Step 3: Cross multiply
   37,742x = 77,122 × 77,122
4. Step 4: Simplify right side
   37,742x = 5,947,802,884
5. Step 5: Solve for x
   x = 5,947,802,884/37,742
6. Step 6: Final answer
   x = 157,591.09