Finding the Third Proportional to 12,434 and 19,280

Step by Step Solution

1. Step 1: Write the proportion equation
   12,434 : 19,280 = 19,280 : x
2. Step 2: Convert to fraction form
   12,434/19,280 = 19,280/x
3. Step 3: Cross multiply
   12,434x = 19,280 × 19,280
4. Step 4: Simplify right side
   12,434x = 371,718,400
5. Step 5: Solve for x
   x = 371,718,400/12,434
6. Step 6: Final answer
   x = 29,895.32