Finding the Third Proportional to 5,181.75 and 7,754.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,181.75 : 7,754.63 = 7,754.63 : x
2. Step 2: Convert to fraction form
   5,181.75/7,754.63 = 7,754.63/x
3. Step 3: Cross multiply
   5,181.75x = 7,754.63 × 7,754.63
4. Step 4: Simplify right side
   5,181.75x = 60,134,208.89
5. Step 5: Solve for x
   x = 60,134,208.89/5,181.75
6. Step 6: Final answer
   x = 11,605.00