Finding the Third Proportional to 5,034.75 and 7,588.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,034.75 : 7,588.88 = 7,588.88 : x
2. Step 2: Convert to fraction form
   5,034.75/7,588.88 = 7,588.88/x
3. Step 3: Cross multiply
   5,034.75x = 7,588.88 × 7,588.88
4. Step 4: Simplify right side
   5,034.75x = 57,591,023.77
5. Step 5: Solve for x
   x = 57,591,023.77/5,034.75
6. Step 6: Final answer
   x = 11,438.71