Finding the Third Proportional to 7,629 and 12,361.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,629 : 12,361.50 = 12,361.50 : x
2. Step 2: Convert to fraction form
   7,629/12,361.50 = 12,361.50/x
3. Step 3: Cross multiply
   7,629x = 12,361.50 × 12,361.50
4. Step 4: Simplify right side
   7,629x = 152,806,682.25
5. Step 5: Solve for x
   x = 152,806,682.25/7,629
6. Step 6: Final answer
   x = 20,029.71