Finding the Third Proportional to 7,226 and 10,605.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,226 : 10,605.50 = 10,605.50 : x
2. Step 2: Convert to fraction form
   7,226/10,605.50 = 10,605.50/x
3. Step 3: Cross multiply
   7,226x = 10,605.50 × 10,605.50
4. Step 4: Simplify right side
   7,226x = 112,476,630.25
5. Step 5: Solve for x
   x = 112,476,630.25/7,226
6. Step 6: Final answer
   x = 15,565.55