Finding the Third Proportional to 5,038.31 and 7,576.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,038.31 : 7,576.88 = 7,576.88 : x
2. Step 2: Convert to fraction form
   5,038.31/7,576.88 = 7,576.88/x
3. Step 3: Cross multiply
   5,038.31x = 7,576.88 × 7,576.88
4. Step 4: Simplify right side
   5,038.31x = 57,409,034.77
5. Step 5: Solve for x
   x = 57,409,034.77/5,038.31
6. Step 6: Final answer
   x = 11,394.50