Finding the Third Proportional to 513.63 and 1,046.38

Step by Step Solution

1. Step 1: Write the proportion equation
   513.63 : 1,046.38 = 1,046.38 : x
2. Step 2: Convert to fraction form
   513.63/1,046.38 = 1,046.38/x
3. Step 3: Cross multiply
   513.63x = 1,046.38 × 1,046.38
4. Step 4: Simplify right side
   513.63x = 1,094,900.64
5. Step 5: Solve for x
   x = 1,094,900.64/513.63
6. Step 6: Final answer
   x = 2,131.71