Finding the Third Proportional to 5,272.88 and 7,828.31

Step by Step Solution

1. Step 1: Write the proportion equation
   5,272.88 : 7,828.31 = 7,828.31 : x
2. Step 2: Convert to fraction form
   5,272.88/7,828.31 = 7,828.31/x
3. Step 3: Cross multiply
   5,272.88x = 7,828.31 × 7,828.31
4. Step 4: Simplify right side
   5,272.88x = 61,282,476.60
5. Step 5: Solve for x
   x = 61,282,476.60/5,272.88
6. Step 6: Final answer
   x = 11,622.21