Finding the Third Proportional to 1,709.25 and 4,114.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,709.25 : 4,114.50 = 4,114.50 : x
2. Step 2: Convert to fraction form
   1,709.25/4,114.50 = 4,114.50/x
3. Step 3: Cross multiply
   1,709.25x = 4,114.50 × 4,114.50
4. Step 4: Simplify right side
   1,709.25x = 16,929,110.25
5. Step 5: Solve for x
   x = 16,929,110.25/1,709.25
6. Step 6: Final answer
   x = 9,904.41