Finding the Third Proportional to 12,702 and 19,756.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,702 : 19,756.50 = 19,756.50 : x
2. Step 2: Convert to fraction form
   12,702/19,756.50 = 19,756.50/x
3. Step 3: Cross multiply
   12,702x = 19,756.50 × 19,756.50
4. Step 4: Simplify right side
   12,702x = 390,319,292.25
5. Step 5: Solve for x
   x = 390,319,292.25/12,702
6. Step 6: Final answer
   x = 30,728.96