Finding the Third Proportional to 3,817 and 5,445.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,817 : 5,445.50 = 5,445.50 : x
2. Step 2: Convert to fraction form
   3,817/5,445.50 = 5,445.50/x
3. Step 3: Cross multiply
   3,817x = 5,445.50 × 5,445.50
4. Step 4: Simplify right side
   3,817x = 29,653,470.25
5. Step 5: Solve for x
   x = 29,653,470.25/3,817
6. Step 6: Final answer
   x = 7,768.79