Finding the Third Proportional to 30,786 and 67,410

Step by Step Solution

1. Step 1: Write the proportion equation
   30,786 : 67,410 = 67,410 : x
2. Step 2: Convert to fraction form
   30,786/67,410 = 67,410/x
3. Step 3: Cross multiply
   30,786x = 67,410 × 67,410
4. Step 4: Simplify right side
   30,786x = 4,544,108,100
5. Step 5: Solve for x
   x = 4,544,108,100/30,786
6. Step 6: Final answer
   x = 147,603.07