Finding the Third Proportional to 10,292.06 and 13,977.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,292.06 : 13,977.56 = 13,977.56 : x
2. Step 2: Convert to fraction form
   10,292.06/13,977.56 = 13,977.56/x
3. Step 3: Cross multiply
   10,292.06x = 13,977.56 × 13,977.56
4. Step 4: Simplify right side
   10,292.06x = 195,372,253.44
5. Step 5: Solve for x
   x = 195,372,253.44/10,292.06
6. Step 6: Final answer
   x = 18,982.81