Finding the Third Proportional to 5,148.56 and 7,646.91

Step by Step Solution

1. Step 1: Write the proportion equation
   5,148.56 : 7,646.91 = 7,646.91 : x
2. Step 2: Convert to fraction form
   5,148.56/7,646.91 = 7,646.91/x
3. Step 3: Cross multiply
   5,148.56x = 7,646.91 × 7,646.91
4. Step 4: Simplify right side
   5,148.56x = 58,475,175.20
5. Step 5: Solve for x
   x = 58,475,175.20/5,148.56
6. Step 6: Final answer
   x = 11,357.57