Finding the Third Proportional to 5,983.88 and 13,977.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,983.88 : 13,977.56 = 13,977.56 : x
2. Step 2: Convert to fraction form
   5,983.88/13,977.56 = 13,977.56/x
3. Step 3: Cross multiply
   5,983.88x = 13,977.56 × 13,977.56
4. Step 4: Simplify right side
   5,983.88x = 195,372,253.44
5. Step 5: Solve for x
   x = 195,372,253.44/5,983.88
6. Step 6: Final answer
   x = 32,649.79