Finding the Third Proportional to 37,554.75 and 76,145.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,554.75 : 76,145.25 = 76,145.25 : x
2. Step 2: Convert to fraction form
   37,554.75/76,145.25 = 76,145.25/x
3. Step 3: Cross multiply
   37,554.75x = 76,145.25 × 76,145.25
4. Step 4: Simplify right side
   37,554.75x = 5,798,099,097.56
5. Step 5: Solve for x
   x = 5,798,099,097.56/37,554.75
6. Step 6: Final answer
   x = 154,390.57