Finding the Third Proportional to 17,538 and 27,200

Step by Step Solution

1. Step 1: Write the proportion equation
   17,538 : 27,200 = 27,200 : x
2. Step 2: Convert to fraction form
   17,538/27,200 = 27,200/x
3. Step 3: Cross multiply
   17,538x = 27,200 × 27,200
4. Step 4: Simplify right side
   17,538x = 739,840,000
5. Step 5: Solve for x
   x = 739,840,000/17,538
6. Step 6: Final answer
   x = 42,184.97