Finding the Third Proportional to 43,205 and 58,065

Step by Step Solution

1. Step 1: Write the proportion equation
   43,205 : 58,065 = 58,065 : x
2. Step 2: Convert to fraction form
   43,205/58,065 = 58,065/x
3. Step 3: Cross multiply
   43,205x = 58,065 × 58,065
4. Step 4: Simplify right side
   43,205x = 3,371,544,225
5. Step 5: Solve for x
   x = 3,371,544,225/43,205
6. Step 6: Final answer
   x = 78,035.97