Finding the Third Proportional to 30,375 and 65,742

Step by Step Solution

1. Step 1: Write the proportion equation
   30,375 : 65,742 = 65,742 : x
2. Step 2: Convert to fraction form
   30,375/65,742 = 65,742/x
3. Step 3: Cross multiply
   30,375x = 65,742 × 65,742
4. Step 4: Simplify right side
   30,375x = 4,322,010,564
5. Step 5: Solve for x
   x = 4,322,010,564/30,375
6. Step 6: Final answer
   x = 142,288.41