Finding the Third Proportional to 981.84 and 1,994.06

Step by Step Solution

1. Step 1: Write the proportion equation
   981.84 : 1,994.06 = 1,994.06 : x
2. Step 2: Convert to fraction form
   981.84/1,994.06 = 1,994.06/x
3. Step 3: Cross multiply
   981.84x = 1,994.06 × 1,994.06
4. Step 4: Simplify right side
   981.84x = 3,976,285.25
5. Step 5: Solve for x
   x = 3,976,285.25/981.84
6. Step 6: Final answer
   x = 4,049.81