Finding the Third Proportional to 12,753 and 19,705.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,753 : 19,705.50 = 19,705.50 : x
2. Step 2: Convert to fraction form
   12,753/19,705.50 = 19,705.50/x
3. Step 3: Cross multiply
   12,753x = 19,705.50 × 19,705.50
4. Step 4: Simplify right side
   12,753x = 388,306,730.25
5. Step 5: Solve for x
   x = 388,306,730.25/12,753
6. Step 6: Final answer
   x = 30,448.27