Finding the Third Proportional to 12,766.50 and 19,419.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,766.50 : 19,419.75 = 19,419.75 : x
2. Step 2: Convert to fraction form
   12,766.50/19,419.75 = 19,419.75/x
3. Step 3: Cross multiply
   12,766.50x = 19,419.75 × 19,419.75
4. Step 4: Simplify right side
   12,766.50x = 377,126,690.06
5. Step 5: Solve for x
   x = 377,126,690.06/12,766.50
6. Step 6: Final answer
   x = 29,540.34