Finding the Third Proportional to 1,821.84 and 3,922.45

Step by Step Solution

1. Step 1: Write the proportion equation
   1,821.84 : 3,922.45 = 3,922.45 : x
2. Step 2: Convert to fraction form
   1,821.84/3,922.45 = 3,922.45/x
3. Step 3: Cross multiply
   1,821.84x = 3,922.45 × 3,922.45
4. Step 4: Simplify right side
   1,821.84x = 15,385,638.52
5. Step 5: Solve for x
   x = 15,385,638.52/1,821.84
6. Step 6: Final answer
   x = 8,445.09