Finding the Third Proportional to 2,909.25 and 5,393.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,909.25 : 5,393.25 = 5,393.25 : x
2. Step 2: Convert to fraction form
   2,909.25/5,393.25 = 5,393.25/x
3. Step 3: Cross multiply
   2,909.25x = 5,393.25 × 5,393.25
4. Step 4: Simplify right side
   2,909.25x = 29,087,145.56
5. Step 5: Solve for x
   x = 29,087,145.56/2,909.25
6. Step 6: Final answer
   x = 9,998.16