Finding the Third Proportional to 5,116.41 and 7,643.02

Step by Step Solution

1. Step 1: Write the proportion equation
   5,116.41 : 7,643.02 = 7,643.02 : x
2. Step 2: Convert to fraction form
   5,116.41/7,643.02 = 7,643.02/x
3. Step 3: Cross multiply
   5,116.41x = 7,643.02 × 7,643.02
4. Step 4: Simplify right side
   5,116.41x = 58,415,687.84
5. Step 5: Solve for x
   x = 58,415,687.84/5,116.41
6. Step 6: Final answer
   x = 11,417.33