Finding the Third Proportional to 12,433.50 and 19,252.69

Step by Step Solution

1. Step 1: Write the proportion equation
   12,433.50 : 19,252.69 = 19,252.69 : x
2. Step 2: Convert to fraction form
   12,433.50/19,252.69 = 19,252.69/x
3. Step 3: Cross multiply
   12,433.50x = 19,252.69 × 19,252.69
4. Step 4: Simplify right side
   12,433.50x = 370,665,975.97
5. Step 5: Solve for x
   x = 370,665,975.97/12,433.50
6. Step 6: Final answer
   x = 29,811.88