Finding the Third Proportional to 5,145.25 and 7,828.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,145.25 : 7,828.88 = 7,828.88 : x
2. Step 2: Convert to fraction form
   5,145.25/7,828.88 = 7,828.88/x
3. Step 3: Cross multiply
   5,145.25x = 7,828.88 × 7,828.88
4. Step 4: Simplify right side
   5,145.25x = 61,291,283.77
5. Step 5: Solve for x
   x = 61,291,283.77/5,145.25
6. Step 6: Final answer
   x = 11,912.21