Finding the Third Proportional to 37,636 and 55,328

Step by Step Solution

1. Step 1: Write the proportion equation
   37,636 : 55,328 = 55,328 : x
2. Step 2: Convert to fraction form
   37,636/55,328 = 55,328/x
3. Step 3: Cross multiply
   37,636x = 55,328 × 55,328
4. Step 4: Simplify right side
   37,636x = 3,061,187,584
5. Step 5: Solve for x
   x = 3,061,187,584/37,636
6. Step 6: Final answer
   x = 81,336.69