Finding the Third Proportional to 5,916.38 and 9,505.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,916.38 : 9,505.69 = 9,505.69 : x
2. Step 2: Convert to fraction form
   5,916.38/9,505.69 = 9,505.69/x
3. Step 3: Cross multiply
   5,916.38x = 9,505.69 × 9,505.69
4. Step 4: Simplify right side
   5,916.38x = 90,358,094.85
5. Step 5: Solve for x
   x = 90,358,094.85/5,916.38
6. Step 6: Final answer
   x = 15,272.54