Finding the Third Proportional to 36,192 and 55,638

Step by Step Solution

1. Step 1: Write the proportion equation
   36,192 : 55,638 = 55,638 : x
2. Step 2: Convert to fraction form
   36,192/55,638 = 55,638/x
3. Step 3: Cross multiply
   36,192x = 55,638 × 55,638
4. Step 4: Simplify right side
   36,192x = 3,095,587,044
5. Step 5: Solve for x
   x = 3,095,587,044/36,192
6. Step 6: Final answer
   x = 85,532.36