Finding the Third Proportional to 5,329.55 and 7,648.17

Step by Step Solution

1. Step 1: Write the proportion equation
   5,329.55 : 7,648.17 = 7,648.17 : x
2. Step 2: Convert to fraction form
   5,329.55/7,648.17 = 7,648.17/x
3. Step 3: Cross multiply
   5,329.55x = 7,648.17 × 7,648.17
4. Step 4: Simplify right side
   5,329.55x = 58,494,533.03
5. Step 5: Solve for x
   x = 58,494,533.03/5,329.55
6. Step 6: Final answer
   x = 10,975.52