Finding the Third Proportional to 5,854.50 and 13,794.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,854.50 : 13,794.75 = 13,794.75 : x
2. Step 2: Convert to fraction form
   5,854.50/13,794.75 = 13,794.75/x
3. Step 3: Cross multiply
   5,854.50x = 13,794.75 × 13,794.75
4. Step 4: Simplify right side
   5,854.50x = 190,295,127.56
5. Step 5: Solve for x
   x = 190,295,127.56/5,854.50
6. Step 6: Final answer
   x = 32,504.08