Finding the Third Proportional to 43,766 and 67,897

Step by Step Solution

1. Step 1: Write the proportion equation
   43,766 : 67,897 = 67,897 : x
2. Step 2: Convert to fraction form
   43,766/67,897 = 67,897/x
3. Step 3: Cross multiply
   43,766x = 67,897 × 67,897
4. Step 4: Simplify right side
   43,766x = 4,610,002,609
5. Step 5: Solve for x
   x = 4,610,002,609/43,766
6. Step 6: Final answer
   x = 105,332.97