Finding the Third Proportional to 1,213.88 and 1,458.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,213.88 : 1,458.56 = 1,458.56 : x
2. Step 2: Convert to fraction form
   1,213.88/1,458.56 = 1,458.56/x
3. Step 3: Cross multiply
   1,213.88x = 1,458.56 × 1,458.56
4. Step 4: Simplify right side
   1,213.88x = 2,127,404.57
5. Step 5: Solve for x
   x = 2,127,404.57/1,213.88
6. Step 6: Final answer
   x = 1,752.57