Finding the Third Proportional to 12,433.50 and 19,280.53

Step by Step Solution

1. Step 1: Write the proportion equation
   12,433.50 : 19,280.53 = 19,280.53 : x
2. Step 2: Convert to fraction form
   12,433.50/19,280.53 = 19,280.53/x
3. Step 3: Cross multiply
   12,433.50x = 19,280.53 × 19,280.53
4. Step 4: Simplify right side
   12,433.50x = 371,738,885.28
5. Step 5: Solve for x
   x = 371,738,885.28/12,433.50
6. Step 6: Final answer
   x = 29,898.17