Finding the Third Proportional to 526.50 and 1,155.52

Step by Step Solution

1. Step 1: Write the proportion equation
   526.50 : 1,155.52 = 1,155.52 : x
2. Step 2: Convert to fraction form
   526.50/1,155.52 = 1,155.52/x
3. Step 3: Cross multiply
   526.50x = 1,155.52 × 1,155.52
4. Step 4: Simplify right side
   526.50x = 1,335,216.36
5. Step 5: Solve for x
   x = 1,335,216.36/526.50
6. Step 6: Final answer
   x = 2,536.02