Finding the Third Proportional to 921.84 and 2,005.59

Step by Step Solution

1. Step 1: Write the proportion equation
   921.84 : 2,005.59 = 2,005.59 : x
2. Step 2: Convert to fraction form
   921.84/2,005.59 = 2,005.59/x
3. Step 3: Cross multiply
   921.84x = 2,005.59 × 2,005.59
4. Step 4: Simplify right side
   921.84x = 4,022,406.29
5. Step 5: Solve for x
   x = 4,022,406.29/921.84
6. Step 6: Final answer
   x = 4,363.44