Finding the Third Proportional to 30,694 and 67,841

Step by Step Solution

1. Step 1: Write the proportion equation
   30,694 : 67,841 = 67,841 : x
2. Step 2: Convert to fraction form
   30,694/67,841 = 67,841/x
3. Step 3: Cross multiply
   30,694x = 67,841 × 67,841
4. Step 4: Simplify right side
   30,694x = 4,602,401,281
5. Step 5: Solve for x
   x = 4,602,401,281/30,694
6. Step 6: Final answer
   x = 149,944.66