Finding the Third Proportional to 43,300 and 67,684

Step by Step Solution

1. Step 1: Write the proportion equation
   43,300 : 67,684 = 67,684 : x
2. Step 2: Convert to fraction form
   43,300/67,684 = 67,684/x
3. Step 3: Cross multiply
   43,300x = 67,684 × 67,684
4. Step 4: Simplify right side
   43,300x = 4,581,123,856
5. Step 5: Solve for x
   x = 4,581,123,856/43,300
6. Step 6: Final answer
   x = 105,799.63