Finding the Third Proportional to 4,825.13 and 7,646.63

Step by Step Solution

1. Step 1: Write the proportion equation
   4,825.13 : 7,646.63 = 7,646.63 : x
2. Step 2: Convert to fraction form
   4,825.13/7,646.63 = 7,646.63/x
3. Step 3: Cross multiply
   4,825.13x = 7,646.63 × 7,646.63
4. Step 4: Simplify right side
   4,825.13x = 58,470,873.89
5. Step 5: Solve for x
   x = 58,470,873.89/4,825.13
6. Step 6: Final answer
   x = 12,118.00