Finding the Third Proportional to 5,243 and 7,648.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,243 : 7,648.50 = 7,648.50 : x
2. Step 2: Convert to fraction form
   5,243/7,648.50 = 7,648.50/x
3. Step 3: Cross multiply
   5,243x = 7,648.50 × 7,648.50
4. Step 4: Simplify right side
   5,243x = 58,499,552.25
5. Step 5: Solve for x
   x = 58,499,552.25/5,243
6. Step 6: Final answer
   x = 11,157.65