Finding the Third Proportional to 1,528.52 and 2,296.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,528.52 : 2,296.16 = 2,296.16 : x
2. Step 2: Convert to fraction form
   1,528.52/2,296.16 = 2,296.16/x
3. Step 3: Cross multiply
   1,528.52x = 2,296.16 × 2,296.16
4. Step 4: Simplify right side
   1,528.52x = 5,272,351.46
5. Step 5: Solve for x
   x = 5,272,351.46/1,528.52
6. Step 6: Final answer
   x = 3,449.31