Finding the Third Proportional to 30,406 and 65,340

Step by Step Solution

1. Step 1: Write the proportion equation
   30,406 : 65,340 = 65,340 : x
2. Step 2: Convert to fraction form
   30,406/65,340 = 65,340/x
3. Step 3: Cross multiply
   30,406x = 65,340 × 65,340
4. Step 4: Simplify right side
   30,406x = 4,269,315,600
5. Step 5: Solve for x
   x = 4,269,315,600/30,406
6. Step 6: Final answer
   x = 140,410.30