Finding the Third Proportional to 5,328.75 and 7,799.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,328.75 : 7,799.25 = 7,799.25 : x
2. Step 2: Convert to fraction form
   5,328.75/7,799.25 = 7,799.25/x
3. Step 3: Cross multiply
   5,328.75x = 7,799.25 × 7,799.25
4. Step 4: Simplify right side
   5,328.75x = 60,828,300.56
5. Step 5: Solve for x
   x = 60,828,300.56/5,328.75
6. Step 6: Final answer
   x = 11,415.12