Finding the Third Proportional to 5,116.31 and 7,643.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,116.31 : 7,643.06 = 7,643.06 : x
2. Step 2: Convert to fraction form
   5,116.31/7,643.06 = 7,643.06/x
3. Step 3: Cross multiply
   5,116.31x = 7,643.06 × 7,643.06
4. Step 4: Simplify right side
   5,116.31x = 58,416,404.38
5. Step 5: Solve for x
   x = 58,416,404.38/5,116.31
6. Step 6: Final answer
   x = 11,417.68