Finding the Third Proportional to 30,926 and 67,684

Step by Step Solution

1. Step 1: Write the proportion equation
   30,926 : 67,684 = 67,684 : x
2. Step 2: Convert to fraction form
   30,926/67,684 = 67,684/x
3. Step 3: Cross multiply
   30,926x = 67,684 × 67,684
4. Step 4: Simplify right side
   30,926x = 4,581,123,856
5. Step 5: Solve for x
   x = 4,581,123,856/30,926
6. Step 6: Final answer
   x = 148,131.79