Finding the Third Proportional to 10,398.94 and 15,984.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,398.94 : 15,984.56 = 15,984.56 : x
2. Step 2: Convert to fraction form
   10,398.94/15,984.56 = 15,984.56/x
3. Step 3: Cross multiply
   10,398.94x = 15,984.56 × 15,984.56
4. Step 4: Simplify right side
   10,398.94x = 255,506,238.32
5. Step 5: Solve for x
   x = 255,506,238.32/10,398.94
6. Step 6: Final answer
   x = 24,570.42