Finding the Third Proportional to 3,474.77 and 7,642.48

Step by Step Solution

1. Step 1: Write the proportion equation
   3,474.77 : 7,642.48 = 7,642.48 : x
2. Step 2: Convert to fraction form
   3,474.77/7,642.48 = 7,642.48/x
3. Step 3: Cross multiply
   3,474.77x = 7,642.48 × 7,642.48
4. Step 4: Simplify right side
   3,474.77x = 58,407,448.01
5. Step 5: Solve for x
   x = 58,407,448.01/3,474.77
6. Step 6: Final answer
   x = 16,808.99