Finding the Third Proportional to 1,034.63 and 1,575.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,034.63 : 1,575.84 = 1,575.84 : x
2. Step 2: Convert to fraction form
   1,034.63/1,575.84 = 1,575.84/x
3. Step 3: Cross multiply
   1,034.63x = 1,575.84 × 1,575.84
4. Step 4: Simplify right side
   1,034.63x = 2,483,283.52
5. Step 5: Solve for x
   x = 2,483,283.52/1,034.63
6. Step 6: Final answer
   x = 2,400.18