Finding the Third Proportional to 43,682 and 67,146

Step by Step Solution

1. Step 1: Write the proportion equation
   43,682 : 67,146 = 67,146 : x
2. Step 2: Convert to fraction form
   43,682/67,146 = 67,146/x
3. Step 3: Cross multiply
   43,682x = 67,146 × 67,146
4. Step 4: Simplify right side
   43,682x = 4,508,585,316
5. Step 5: Solve for x
   x = 4,508,585,316/43,682
6. Step 6: Final answer
   x = 103,213.80