Finding the Third Proportional to 1,031.25 and 1,598.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,031.25 : 1,598.63 = 1,598.63 : x
2. Step 2: Convert to fraction form
   1,031.25/1,598.63 = 1,598.63/x
3. Step 3: Cross multiply
   1,031.25x = 1,598.63 × 1,598.63
4. Step 4: Simplify right side
   1,031.25x = 2,555,601.89
5. Step 5: Solve for x
   x = 2,555,601.89/1,031.25
6. Step 6: Final answer
   x = 2,478.16