Finding the Third Proportional to 12,809 and 19,781.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,809 : 19,781.50 = 19,781.50 : x
2. Step 2: Convert to fraction form
   12,809/19,781.50 = 19,781.50/x
3. Step 3: Cross multiply
   12,809x = 19,781.50 × 19,781.50
4. Step 4: Simplify right side
   12,809x = 391,307,742.25
5. Step 5: Solve for x
   x = 391,307,742.25/12,809
6. Step 6: Final answer
   x = 30,549.44