Finding the Third Proportional to 37,241.25 and 76,122.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,241.25 : 76,122.75 = 76,122.75 : x
2. Step 2: Convert to fraction form
   37,241.25/76,122.75 = 76,122.75/x
3. Step 3: Cross multiply
   37,241.25x = 76,122.75 × 76,122.75
4. Step 4: Simplify right side
   37,241.25x = 5,794,673,067.56
5. Step 5: Solve for x
   x = 5,794,673,067.56/37,241.25
6. Step 6: Final answer
   x = 155,598.24