Finding the Third Proportional to 37,551.38 and 76,138.88

Step by Step Solution

1. Step 1: Write the proportion equation
   37,551.38 : 76,138.88 = 76,138.88 : x
2. Step 2: Convert to fraction form
   37,551.38/76,138.88 = 76,138.88/x
3. Step 3: Cross multiply
   37,551.38x = 76,138.88 × 76,138.88
4. Step 4: Simplify right side
   37,551.38x = 5,797,128,286.27
5. Step 5: Solve for x
   x = 5,797,128,286.27/37,551.38
6. Step 6: Final answer
   x = 154,378.59