Finding the Third Proportional to 30,309 and 65,442

Step by Step Solution

1. Step 1: Write the proportion equation
   30,309 : 65,442 = 65,442 : x
2. Step 2: Convert to fraction form
   30,309/65,442 = 65,442/x
3. Step 3: Cross multiply
   30,309x = 65,442 × 65,442
4. Step 4: Simplify right side
   30,309x = 4,282,655,364
5. Step 5: Solve for x
   x = 4,282,655,364/30,309
6. Step 6: Final answer
   x = 141,299.79