Finding the Third Proportional to 12,769.50 and 19,822.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,769.50 : 19,822.50 = 19,822.50 : x
2. Step 2: Convert to fraction form
   12,769.50/19,822.50 = 19,822.50/x
3. Step 3: Cross multiply
   12,769.50x = 19,822.50 × 19,822.50
4. Step 4: Simplify right side
   12,769.50x = 392,931,506.25
5. Step 5: Solve for x
   x = 392,931,506.25/12,769.50
6. Step 6: Final answer
   x = 30,771.10