Finding the Third Proportional to 36,136 and 55,616

Step by Step Solution

1. Step 1: Write the proportion equation
   36,136 : 55,616 = 55,616 : x
2. Step 2: Convert to fraction form
   36,136/55,616 = 55,616/x
3. Step 3: Cross multiply
   36,136x = 55,616 × 55,616
4. Step 4: Simplify right side
   36,136x = 3,093,139,456
5. Step 5: Solve for x
   x = 3,093,139,456/36,136
6. Step 6: Final answer
   x = 85,597.17