Finding the Third Proportional to 37,744 and 77,126

Step by Step Solution

1. Step 1: Write the proportion equation
   37,744 : 77,126 = 77,126 : x
2. Step 2: Convert to fraction form
   37,744/77,126 = 77,126/x
3. Step 3: Cross multiply
   37,744x = 77,126 × 77,126
4. Step 4: Simplify right side
   37,744x = 5,948,419,876
5. Step 5: Solve for x
   x = 5,948,419,876/37,744
6. Step 6: Final answer
   x = 157,599.09