Finding the Third Proportional to 43,770 and 67,895

Step by Step Solution

1. Step 1: Write the proportion equation
   43,770 : 67,895 = 67,895 : x
2. Step 2: Convert to fraction form
   43,770/67,895 = 67,895/x
3. Step 3: Cross multiply
   43,770x = 67,895 × 67,895
4. Step 4: Simplify right side
   43,770x = 4,609,731,025
5. Step 5: Solve for x
   x = 4,609,731,025/43,770
6. Step 6: Final answer
   x = 105,317.14