Finding the Third Proportional to 17,738 and 27,570

Step by Step Solution

1. Step 1: Write the proportion equation
   17,738 : 27,570 = 27,570 : x
2. Step 2: Convert to fraction form
   17,738/27,570 = 27,570/x
3. Step 3: Cross multiply
   17,738x = 27,570 × 27,570
4. Step 4: Simplify right side
   17,738x = 760,104,900
5. Step 5: Solve for x
   x = 760,104,900/17,738
6. Step 6: Final answer
   x = 42,851.78