Finding the Third Proportional to 39,138.19 and 75,952.69

Step by Step Solution

1. Step 1: Write the proportion equation
   39,138.19 : 75,952.69 = 75,952.69 : x
2. Step 2: Convert to fraction form
   39,138.19/75,952.69 = 75,952.69/x
3. Step 3: Cross multiply
   39,138.19x = 75,952.69 × 75,952.69
4. Step 4: Simplify right side
   39,138.19x = 5,768,810,738.47
5. Step 5: Solve for x
   x = 5,768,810,738.47/39,138.19
6. Step 6: Final answer
   x = 147,395.96