Finding the Third Proportional to 12,789 and 19,744.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,789 : 19,744.50 = 19,744.50 : x
2. Step 2: Convert to fraction form
   12,789/19,744.50 = 19,744.50/x
3. Step 3: Cross multiply
   12,789x = 19,744.50 × 19,744.50
4. Step 4: Simplify right side
   12,789x = 389,845,280.25
5. Step 5: Solve for x
   x = 389,845,280.25/12,789
6. Step 6: Final answer
   x = 30,482.86