Finding the Third Proportional to 17,538 and 27,174

Step by Step Solution

1. Step 1: Write the proportion equation
   17,538 : 27,174 = 27,174 : x
2. Step 2: Convert to fraction form
   17,538/27,174 = 27,174/x
3. Step 3: Cross multiply
   17,538x = 27,174 × 27,174
4. Step 4: Simplify right side
   17,538x = 738,426,276
5. Step 5: Solve for x
   x = 738,426,276/17,538
6. Step 6: Final answer
   x = 42,104.36