Finding the Third Proportional to 8,902.50 and 19,145.25

Step by Step Solution

1. Step 1: Write the proportion equation
   8,902.50 : 19,145.25 = 19,145.25 : x
2. Step 2: Convert to fraction form
   8,902.50/19,145.25 = 19,145.25/x
3. Step 3: Cross multiply
   8,902.50x = 19,145.25 × 19,145.25
4. Step 4: Simplify right side
   8,902.50x = 366,540,597.56
5. Step 5: Solve for x
   x = 366,540,597.56/8,902.50
6. Step 6: Final answer
   x = 41,172.77