Finding the Third Proportional to 5,896.13 and 7,912.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,896.13 : 7,912.69 = 7,912.69 : x
2. Step 2: Convert to fraction form
   5,896.13/7,912.69 = 7,912.69/x
3. Step 3: Cross multiply
   5,896.13x = 7,912.69 × 7,912.69
4. Step 4: Simplify right side
   5,896.13x = 62,610,623.47
5. Step 5: Solve for x
   x = 62,610,623.47/5,896.13
6. Step 6: Final answer
   x = 10,618.94