Finding the Third Proportional to 12,929 and 19,769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,929 : 19,769.50 = 19,769.50 : x
2. Step 2: Convert to fraction form
   12,929/19,769.50 = 19,769.50/x
3. Step 3: Cross multiply
   12,929x = 19,769.50 × 19,769.50
4. Step 4: Simplify right side
   12,929x = 390,833,130.25
5. Step 5: Solve for x
   x = 390,833,130.25/12,929
6. Step 6: Final answer
   x = 30,229.18