Finding the Third Proportional to 43,138 and 58,009

Step by Step Solution

1. Step 1: Write the proportion equation
   43,138 : 58,009 = 58,009 : x
2. Step 2: Convert to fraction form
   43,138/58,009 = 58,009/x
3. Step 3: Cross multiply
   43,138x = 58,009 × 58,009
4. Step 4: Simplify right side
   43,138x = 3,365,044,081
5. Step 5: Solve for x
   x = 3,365,044,081/43,138
6. Step 6: Final answer
   x = 78,006.49