Finding the Third Proportional to 2,523.80 and 5,173.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,523.80 : 5,173.52 = 5,173.52 : x
2. Step 2: Convert to fraction form
   2,523.80/5,173.52 = 5,173.52/x
3. Step 3: Cross multiply
   2,523.80x = 5,173.52 × 5,173.52
4. Step 4: Simplify right side
   2,523.80x = 26,765,344.76
5. Step 5: Solve for x
   x = 26,765,344.76/2,523.80
6. Step 6: Final answer
   x = 10,605.19