Finding the Third Proportional to 461.63 and 981.38

Step by Step Solution

1. Step 1: Write the proportion equation
   461.63 : 981.38 = 981.38 : x
2. Step 2: Convert to fraction form
   461.63/981.38 = 981.38/x
3. Step 3: Cross multiply
   461.63x = 981.38 × 981.38
4. Step 4: Simplify right side
   461.63x = 963,096.89
5. Step 5: Solve for x
   x = 963,096.89/461.63
6. Step 6: Final answer
   x = 2,086.32