Finding the Third Proportional to 10,271.25 and 19,469.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,271.25 : 19,469.25 = 19,469.25 : x
2. Step 2: Convert to fraction form
   10,271.25/19,469.25 = 19,469.25/x
3. Step 3: Cross multiply
   10,271.25x = 19,469.25 × 19,469.25
4. Step 4: Simplify right side
   10,271.25x = 379,051,695.56
5. Step 5: Solve for x
   x = 379,051,695.56/10,271.25
6. Step 6: Final answer
   x = 36,904.14