Finding the Third Proportional to 6,189.75 and 14,760.56

Step by Step Solution

1. Step 1: Write the proportion equation
   6,189.75 : 14,760.56 = 14,760.56 : x
2. Step 2: Convert to fraction form
   6,189.75/14,760.56 = 14,760.56/x
3. Step 3: Cross multiply
   6,189.75x = 14,760.56 × 14,760.56
4. Step 4: Simplify right side
   6,189.75x = 217,874,205.32
5. Step 5: Solve for x
   x = 217,874,205.32/6,189.75
6. Step 6: Final answer
   x = 35,199.19