Finding the Third Proportional to 30,969 and 67,844

Step by Step Solution

1. Step 1: Write the proportion equation
   30,969 : 67,844 = 67,844 : x
2. Step 2: Convert to fraction form
   30,969/67,844 = 67,844/x
3. Step 3: Cross multiply
   30,969x = 67,844 × 67,844
4. Step 4: Simplify right side
   30,969x = 4,602,808,336
5. Step 5: Solve for x
   x = 4,602,808,336/30,969
6. Step 6: Final answer
   x = 148,626.31