Finding the Third Proportional to 12,778.25 and 19,572.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,778.25 : 19,572.50 = 19,572.50 : x
2. Step 2: Convert to fraction form
   12,778.25/19,572.50 = 19,572.50/x
3. Step 3: Cross multiply
   12,778.25x = 19,572.50 × 19,572.50
4. Step 4: Simplify right side
   12,778.25x = 383,082,756.25
5. Step 5: Solve for x
   x = 383,082,756.25/12,778.25
6. Step 6: Final answer
   x = 29,979.28