Finding the Third Proportional to 5,634 and 8,404.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,634 : 8,404.88 = 8,404.88 : x
2. Step 2: Convert to fraction form
   5,634/8,404.88 = 8,404.88/x
3. Step 3: Cross multiply
   5,634x = 8,404.88 × 8,404.88
4. Step 4: Simplify right side
   5,634x = 70,641,923.77
5. Step 5: Solve for x
   x = 70,641,923.77/5,634
6. Step 6: Final answer
   x = 12,538.50