Finding the Third Proportional to 30,896 and 67,454

Step by Step Solution

1. Step 1: Write the proportion equation
   30,896 : 67,454 = 67,454 : x
2. Step 2: Convert to fraction form
   30,896/67,454 = 67,454/x
3. Step 3: Cross multiply
   30,896x = 67,454 × 67,454
4. Step 4: Simplify right side
   30,896x = 4,550,042,116
5. Step 5: Solve for x
   x = 4,550,042,116/30,896
6. Step 6: Final answer
   x = 147,269.62