Finding the Third Proportional to 5,684.50 and 12,341

Step by Step Solution

1. Step 1: Write the proportion equation
   5,684.50 : 12,341 = 12,341 : x
2. Step 2: Convert to fraction form
   5,684.50/12,341 = 12,341/x
3. Step 3: Cross multiply
   5,684.50x = 12,341 × 12,341
4. Step 4: Simplify right side
   5,684.50x = 152,300,281
5. Step 5: Solve for x
   x = 152,300,281/5,684.50
6. Step 6: Final answer
   x = 26,792.20