Finding the Third Proportional to 10,306.50 and 18,628.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,306.50 : 18,628.50 = 18,628.50 : x
2. Step 2: Convert to fraction form
   10,306.50/18,628.50 = 18,628.50/x
3. Step 3: Cross multiply
   10,306.50x = 18,628.50 × 18,628.50
4. Step 4: Simplify right side
   10,306.50x = 347,021,012.25
5. Step 5: Solve for x
   x = 347,021,012.25/10,306.50
6. Step 6: Final answer
   x = 33,670.11