Finding the Third Proportional to 12,729 and 19,233.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,729 : 19,233.50 = 19,233.50 : x
2. Step 2: Convert to fraction form
   12,729/19,233.50 = 19,233.50/x
3. Step 3: Cross multiply
   12,729x = 19,233.50 × 19,233.50
4. Step 4: Simplify right side
   12,729x = 369,927,522.25
5. Step 5: Solve for x
   x = 369,927,522.25/12,729
6. Step 6: Final answer
   x = 29,061.79