Finding the Third Proportional to 41,584 and 56,616

Step by Step Solution

1. Step 1: Write the proportion equation
   41,584 : 56,616 = 56,616 : x
2. Step 2: Convert to fraction form
   41,584/56,616 = 56,616/x
3. Step 3: Cross multiply
   41,584x = 56,616 × 56,616
4. Step 4: Simplify right side
   41,584x = 3,205,371,456
5. Step 5: Solve for x
   x = 3,205,371,456/41,584
6. Step 6: Final answer
   x = 77,081.85