Finding the Third Proportional to 1,012.50 and 2,394.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,012.50 : 2,394.56 = 2,394.56 : x
2. Step 2: Convert to fraction form
   1,012.50/2,394.56 = 2,394.56/x
3. Step 3: Cross multiply
   1,012.50x = 2,394.56 × 2,394.56
4. Step 4: Simplify right side
   1,012.50x = 5,733,929.57
5. Step 5: Solve for x
   x = 5,733,929.57/1,012.50
6. Step 6: Final answer
   x = 5,663.14