Finding the Third Proportional to 7,828.50 and 12,107.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,828.50 : 12,107.25 = 12,107.25 : x
2. Step 2: Convert to fraction form
   7,828.50/12,107.25 = 12,107.25/x
3. Step 3: Cross multiply
   7,828.50x = 12,107.25 × 12,107.25
4. Step 4: Simplify right side
   7,828.50x = 146,585,502.56
5. Step 5: Solve for x
   x = 146,585,502.56/7,828.50
6. Step 6: Final answer
   x = 18,724.60