Finding the Third Proportional to 3,648.50 and 5,343

Step by Step Solution

1. Step 1: Write the proportion equation
   3,648.50 : 5,343 = 5,343 : x
2. Step 2: Convert to fraction form
   3,648.50/5,343 = 5,343/x
3. Step 3: Cross multiply
   3,648.50x = 5,343 × 5,343
4. Step 4: Simplify right side
   3,648.50x = 28,547,649
5. Step 5: Solve for x
   x = 28,547,649/3,648.50
6. Step 6: Final answer
   x = 7,824.49