Finding the Third Proportional to 5,128.50 and 10,693.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,128.50 : 10,693.50 = 10,693.50 : x
2. Step 2: Convert to fraction form
   5,128.50/10,693.50 = 10,693.50/x
3. Step 3: Cross multiply
   5,128.50x = 10,693.50 × 10,693.50
4. Step 4: Simplify right side
   5,128.50x = 114,350,942.25
5. Step 5: Solve for x
   x = 114,350,942.25/5,128.50
6. Step 6: Final answer
   x = 22,297.15