Finding the Third Proportional to 36,538 and 55,200

Step by Step Solution

1. Step 1: Write the proportion equation
   36,538 : 55,200 = 55,200 : x
2. Step 2: Convert to fraction form
   36,538/55,200 = 55,200/x
3. Step 3: Cross multiply
   36,538x = 55,200 × 55,200
4. Step 4: Simplify right side
   36,538x = 3,047,040,000
5. Step 5: Solve for x
   x = 3,047,040,000/36,538
6. Step 6: Final answer
   x = 83,393.73