Finding the Third Proportional to 12,858 and 19,424.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,858 : 19,424.50 = 19,424.50 : x
2. Step 2: Convert to fraction form
   12,858/19,424.50 = 19,424.50/x
3. Step 3: Cross multiply
   12,858x = 19,424.50 × 19,424.50
4. Step 4: Simplify right side
   12,858x = 377,311,200.25
5. Step 5: Solve for x
   x = 377,311,200.25/12,858
6. Step 6: Final answer
   x = 29,344.47