Finding the Third Proportional to 5,788.13 and 7,801.31

Step by Step Solution

1. Step 1: Write the proportion equation
   5,788.13 : 7,801.31 = 7,801.31 : x
2. Step 2: Convert to fraction form
   5,788.13/7,801.31 = 7,801.31/x
3. Step 3: Cross multiply
   5,788.13x = 7,801.31 × 7,801.31
4. Step 4: Simplify right side
   5,788.13x = 60,860,476.72
5. Step 5: Solve for x
   x = 60,860,476.72/5,788.13
6. Step 6: Final answer
   x = 10,514.71