Finding the Third Proportional to 5,913.25 and 8,894.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,913.25 : 8,894.56 = 8,894.56 : x
2. Step 2: Convert to fraction form
   5,913.25/8,894.56 = 8,894.56/x
3. Step 3: Cross multiply
   5,913.25x = 8,894.56 × 8,894.56
4. Step 4: Simplify right side
   5,913.25x = 79,113,242.07
5. Step 5: Solve for x
   x = 79,113,242.07/5,913.25
6. Step 6: Final answer
   x = 13,378.98