Finding the Third Proportional to 36,792 and 55,188

Step by Step Solution

1. Step 1: Write the proportion equation
   36,792 : 55,188 = 55,188 : x
2. Step 2: Convert to fraction form
   36,792/55,188 = 55,188/x
3. Step 3: Cross multiply
   36,792x = 55,188 × 55,188
4. Step 4: Simplify right side
   36,792x = 3,045,715,344
5. Step 5: Solve for x
   x = 3,045,715,344/36,792
6. Step 6: Final answer
   x = 82,782