Finding the Third Proportional to 3,973.50 and 8,460.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,973.50 : 8,460.56 = 8,460.56 : x
2. Step 2: Convert to fraction form
   3,973.50/8,460.56 = 8,460.56/x
3. Step 3: Cross multiply
   3,973.50x = 8,460.56 × 8,460.56
4. Step 4: Simplify right side
   3,973.50x = 71,581,117.82
5. Step 5: Solve for x
   x = 71,581,117.82/3,973.50
6. Step 6: Final answer
   x = 18,014.63