Finding the Third Proportional to 11,778 and 17,032

Step by Step Solution

1. Step 1: Write the proportion equation
   11,778 : 17,032 = 17,032 : x
2. Step 2: Convert to fraction form
   11,778/17,032 = 17,032/x
3. Step 3: Cross multiply
   11,778x = 17,032 × 17,032
4. Step 4: Simplify right side
   11,778x = 290,089,024
5. Step 5: Solve for x
   x = 290,089,024/11,778
6. Step 6: Final answer
   x = 24,629.74