Finding the Third Proportional to 12,693.43 and 19,742.80

Step by Step Solution

1. Step 1: Write the proportion equation
   12,693.43 : 19,742.80 = 19,742.80 : x
2. Step 2: Convert to fraction form
   12,693.43/19,742.80 = 19,742.80/x
3. Step 3: Cross multiply
   12,693.43x = 19,742.80 × 19,742.80
4. Step 4: Simplify right side
   12,693.43x = 389,778,182.69
5. Step 5: Solve for x
   x = 389,778,182.69/12,693.43
6. Step 6: Final answer
   x = 30,707.09