Finding the Third Proportional to 25,794 and 34,222.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,794 : 34,222.50 = 34,222.50 : x
2. Step 2: Convert to fraction form
   25,794/34,222.50 = 34,222.50/x
3. Step 3: Cross multiply
   25,794x = 34,222.50 × 34,222.50
4. Step 4: Simplify right side
   25,794x = 1,171,179,506.25
5. Step 5: Solve for x
   x = 1,171,179,506.25/25,794
6. Step 6: Final answer
   x = 45,405.11