Finding the Third Proportional to 3,349.25 and 5,307.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,349.25 : 5,307.50 = 5,307.50 : x
2. Step 2: Convert to fraction form
   3,349.25/5,307.50 = 5,307.50/x
3. Step 3: Cross multiply
   3,349.25x = 5,307.50 × 5,307.50
4. Step 4: Simplify right side
   3,349.25x = 28,169,556.25
5. Step 5: Solve for x
   x = 28,169,556.25/3,349.25
6. Step 6: Final answer
   x = 8,410.71