Finding the Third Proportional to 4,615.50 and 7,097.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,615.50 : 7,097.25 = 7,097.25 : x
2. Step 2: Convert to fraction form
   4,615.50/7,097.25 = 7,097.25/x
3. Step 3: Cross multiply
   4,615.50x = 7,097.25 × 7,097.25
4. Step 4: Simplify right side
   4,615.50x = 50,370,957.56
5. Step 5: Solve for x
   x = 50,370,957.56/4,615.50
6. Step 6: Final answer
   x = 10,913.43