Finding the Third Proportional to 1,137.40 and 1,528.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,137.40 : 1,528.48 = 1,528.48 : x
2. Step 2: Convert to fraction form
   1,137.40/1,528.48 = 1,528.48/x
3. Step 3: Cross multiply
   1,137.40x = 1,528.48 × 1,528.48
4. Step 4: Simplify right side
   1,137.40x = 2,336,249.56
5. Step 5: Solve for x
   x = 2,336,249.56/1,137.40
6. Step 6: Final answer
   x = 2,054.02