Finding the Third Proportional to 45,616 and 72,872

Step by Step Solution

1. Step 1: Write the proportion equation
   45,616 : 72,872 = 72,872 : x
2. Step 2: Convert to fraction form
   45,616/72,872 = 72,872/x
3. Step 3: Cross multiply
   45,616x = 72,872 × 72,872
4. Step 4: Simplify right side
   45,616x = 5,310,328,384
5. Step 5: Solve for x
   x = 5,310,328,384/45,616
6. Step 6: Final answer
   x = 116,413.72