Finding the Third Proportional to 5,278.50 and 8,575.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,278.50 : 8,575.88 = 8,575.88 : x
2. Step 2: Convert to fraction form
   5,278.50/8,575.88 = 8,575.88/x
3. Step 3: Cross multiply
   5,278.50x = 8,575.88 × 8,575.88
4. Step 4: Simplify right side
   5,278.50x = 73,545,632.02
5. Step 5: Solve for x
   x = 73,545,632.02/5,278.50
6. Step 6: Final answer
   x = 13,933.06