Finding the Third Proportional to 510.75 and 1,384.31

Step by Step Solution

1. Step 1: Write the proportion equation
   510.75 : 1,384.31 = 1,384.31 : x
2. Step 2: Convert to fraction form
   510.75/1,384.31 = 1,384.31/x
3. Step 3: Cross multiply
   510.75x = 1,384.31 × 1,384.31
4. Step 4: Simplify right side
   510.75x = 1,916,321.10
5. Step 5: Solve for x
   x = 1,916,321.10/510.75
6. Step 6: Final answer
   x = 3,751.97