Finding the Third Proportional to 4,171.50 and 11,356.88

Step by Step Solution

1. Step 1: Write the proportion equation
   4,171.50 : 11,356.88 = 11,356.88 : x
2. Step 2: Convert to fraction form
   4,171.50/11,356.88 = 11,356.88/x
3. Step 3: Cross multiply
   4,171.50x = 11,356.88 × 11,356.88
4. Step 4: Simplify right side
   4,171.50x = 128,978,609.77
5. Step 5: Solve for x
   x = 128,978,609.77/4,171.50
6. Step 6: Final answer
   x = 30,919.00