Finding the Third Proportional to 37,244.25 and 76,128.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,244.25 : 76,128.75 = 76,128.75 : x
2. Step 2: Convert to fraction form
   37,244.25/76,128.75 = 76,128.75/x
3. Step 3: Cross multiply
   37,244.25x = 76,128.75 × 76,128.75
4. Step 4: Simplify right side
   37,244.25x = 5,795,586,576.56
5. Step 5: Solve for x
   x = 5,795,586,576.56/37,244.25
6. Step 6: Final answer
   x = 155,610.24