Finding the Third Proportional to 12,977.72 and 19,846.27

Step by Step Solution

1. Step 1: Write the proportion equation
   12,977.72 : 19,846.27 = 19,846.27 : x
2. Step 2: Convert to fraction form
   12,977.72/19,846.27 = 19,846.27/x
3. Step 3: Cross multiply
   12,977.72x = 19,846.27 × 19,846.27
4. Step 4: Simplify right side
   12,977.72x = 393,874,259.26
5. Step 5: Solve for x
   x = 393,874,259.26/12,977.72
6. Step 6: Final answer
   x = 30,350.04