Finding the Third Proportional to 17,775 and 23,852.25

Step by Step Solution

1. Step 1: Write the proportion equation
   17,775 : 23,852.25 = 23,852.25 : x
2. Step 2: Convert to fraction form
   17,775/23,852.25 = 23,852.25/x
3. Step 3: Cross multiply
   17,775x = 23,852.25 × 23,852.25
4. Step 4: Simplify right side
   17,775x = 568,929,830.06
5. Step 5: Solve for x
   x = 568,929,830.06/17,775
6. Step 6: Final answer
   x = 32,007.30