Finding the Third Proportional to 5,305.50 and 7,421.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,305.50 : 7,421.63 = 7,421.63 : x
2. Step 2: Convert to fraction form
   5,305.50/7,421.63 = 7,421.63/x
3. Step 3: Cross multiply
   5,305.50x = 7,421.63 × 7,421.63
4. Step 4: Simplify right side
   5,305.50x = 55,080,517.64
5. Step 5: Solve for x
   x = 55,080,517.64/5,305.50
6. Step 6: Final answer
   x = 10,381.78