Finding the Third Proportional to 5,116.63 and 7,643.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,116.63 : 7,643.38 = 7,643.38 : x
2. Step 2: Convert to fraction form
   5,116.63/7,643.38 = 7,643.38/x
3. Step 3: Cross multiply
   5,116.63x = 7,643.38 × 7,643.38
4. Step 4: Simplify right side
   5,116.63x = 58,421,181.39
5. Step 5: Solve for x
   x = 58,421,181.39/5,116.63
6. Step 6: Final answer
   x = 11,417.91