Finding the Third Proportional to 981.77 and 2,031.89

Step by Step Solution

1. Step 1: Write the proportion equation
   981.77 : 2,031.89 = 2,031.89 : x
2. Step 2: Convert to fraction form
   981.77/2,031.89 = 2,031.89/x
3. Step 3: Cross multiply
   981.77x = 2,031.89 × 2,031.89
4. Step 4: Simplify right side
   981.77x = 4,128,579.51
5. Step 5: Solve for x
   x = 4,128,579.51/981.77
6. Step 6: Final answer
   x = 4,205.23