Finding the Third Proportional to 510.38 and 981.94

Step by Step Solution

1. Step 1: Write the proportion equation
   510.38 : 981.94 = 981.94 : x
2. Step 2: Convert to fraction form
   510.38/981.94 = 981.94/x
3. Step 3: Cross multiply
   510.38x = 981.94 × 981.94
4. Step 4: Simplify right side
   510.38x = 964,201.25
5. Step 5: Solve for x
   x = 964,201.25/510.38
6. Step 6: Final answer
   x = 1,889.20