Finding the Third Proportional to 7,787.25 and 16,674.75

Step by Step Solution

1. Step 1: Write the proportion equation
   7,787.25 : 16,674.75 = 16,674.75 : x
2. Step 2: Convert to fraction form
   7,787.25/16,674.75 = 16,674.75/x
3. Step 3: Cross multiply
   7,787.25x = 16,674.75 × 16,674.75
4. Step 4: Simplify right side
   7,787.25x = 278,047,287.56
5. Step 5: Solve for x
   x = 278,047,287.56/7,787.25
6. Step 6: Final answer
   x = 35,705.45