Finding the Third Proportional to 30,780 and 65,448

Step by Step Solution

1. Step 1: Write the proportion equation
   30,780 : 65,448 = 65,448 : x
2. Step 2: Convert to fraction form
   30,780/65,448 = 65,448/x
3. Step 3: Cross multiply
   30,780x = 65,448 × 65,448
4. Step 4: Simplify right side
   30,780x = 4,283,440,704
5. Step 5: Solve for x
   x = 4,283,440,704/30,780
6. Step 6: Final answer
   x = 139,163.12