Finding the Third Proportional to 17,738 and 27,813

Step by Step Solution

1. Step 1: Write the proportion equation
   17,738 : 27,813 = 27,813 : x
2. Step 2: Convert to fraction form
   17,738/27,813 = 27,813/x
3. Step 3: Cross multiply
   17,738x = 27,813 × 27,813
4. Step 4: Simplify right side
   17,738x = 773,562,969
5. Step 5: Solve for x
   x = 773,562,969/17,738
6. Step 6: Final answer
   x = 43,610.50