Finding the Third Proportional to 7,634 and 12,065.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,634 : 12,065.50 = 12,065.50 : x
2. Step 2: Convert to fraction form
   7,634/12,065.50 = 12,065.50/x
3. Step 3: Cross multiply
   7,634x = 12,065.50 × 12,065.50
4. Step 4: Simplify right side
   7,634x = 145,576,290.25
5. Step 5: Solve for x
   x = 145,576,290.25/7,634
6. Step 6: Final answer
   x = 19,069.46