Finding the Third Proportional to 5,795.25 and 7,872.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,795.25 : 7,872.75 = 7,872.75 : x
2. Step 2: Convert to fraction form
   5,795.25/7,872.75 = 7,872.75/x
3. Step 3: Cross multiply
   5,795.25x = 7,872.75 × 7,872.75
4. Step 4: Simplify right side
   5,795.25x = 61,980,192.56
5. Step 5: Solve for x
   x = 61,980,192.56/5,795.25
6. Step 6: Final answer
   x = 10,695.00