Finding the Third Proportional to 17,538 and 27,768

Step by Step Solution

1. Step 1: Write the proportion equation
   17,538 : 27,768 = 27,768 : x
2. Step 2: Convert to fraction form
   17,538/27,768 = 27,768/x
3. Step 3: Cross multiply
   17,538x = 27,768 × 27,768
4. Step 4: Simplify right side
   17,538x = 771,061,824
5. Step 5: Solve for x
   x = 771,061,824/17,538
6. Step 6: Final answer
   x = 43,965.21