Finding the Third Proportional to 12,782.50 and 19,620

Step by Step Solution

1. Step 1: Write the proportion equation
   12,782.50 : 19,620 = 19,620 : x
2. Step 2: Convert to fraction form
   12,782.50/19,620 = 19,620/x
3. Step 3: Cross multiply
   12,782.50x = 19,620 × 19,620
4. Step 4: Simplify right side
   12,782.50x = 384,944,400
5. Step 5: Solve for x
   x = 384,944,400/12,782.50
6. Step 6: Final answer
   x = 30,114.95