Finding the Third Proportional to 12,170 and 17,775.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,170 : 17,775.50 = 17,775.50 : x
2. Step 2: Convert to fraction form
   12,170/17,775.50 = 17,775.50/x
3. Step 3: Cross multiply
   12,170x = 17,775.50 × 17,775.50
4. Step 4: Simplify right side
   12,170x = 315,968,400.25
5. Step 5: Solve for x
   x = 315,968,400.25/12,170
6. Step 6: Final answer
   x = 25,962.89