Finding the Third Proportional to 5,133.38 and 7,516.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,133.38 : 7,516.88 = 7,516.88 : x
2. Step 2: Convert to fraction form
   5,133.38/7,516.88 = 7,516.88/x
3. Step 3: Cross multiply
   5,133.38x = 7,516.88 × 7,516.88
4. Step 4: Simplify right side
   5,133.38x = 56,503,409.77
5. Step 5: Solve for x
   x = 56,503,409.77/5,133.38
6. Step 6: Final answer
   x = 11,007.07