Finding the Third Proportional to 5,487.75 and 7,738.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,487.75 : 7,738.88 = 7,738.88 : x
2. Step 2: Convert to fraction form
   5,487.75/7,738.88 = 7,738.88/x
3. Step 3: Cross multiply
   5,487.75x = 7,738.88 × 7,738.88
4. Step 4: Simplify right side
   5,487.75x = 59,890,186.27
5. Step 5: Solve for x
   x = 59,890,186.27/5,487.75
6. Step 6: Final answer
   x = 10,913.43