Finding the Third Proportional to 7,873.25 and 16,414.75

Step by Step Solution

1. Step 1: Write the proportion equation
   7,873.25 : 16,414.75 = 16,414.75 : x
2. Step 2: Convert to fraction form
   7,873.25/16,414.75 = 16,414.75/x
3. Step 3: Cross multiply
   7,873.25x = 16,414.75 × 16,414.75
4. Step 4: Simplify right side
   7,873.25x = 269,444,017.56
5. Step 5: Solve for x
   x = 269,444,017.56/7,873.25
6. Step 6: Final answer
   x = 34,222.72