Finding the Third Proportional to 17,729 and 27,815

Step by Step Solution

1. Step 1: Write the proportion equation
   17,729 : 27,815 = 27,815 : x
2. Step 2: Convert to fraction form
   17,729/27,815 = 27,815/x
3. Step 3: Cross multiply
   17,729x = 27,815 × 27,815
4. Step 4: Simplify right side
   17,729x = 773,674,225
5. Step 5: Solve for x
   x = 773,674,225/17,729
6. Step 6: Final answer
   x = 43,638.91