Finding the Third Proportional to 1,002.55 and 1,525.45

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.55 : 1,525.45 = 1,525.45 : x
2. Step 2: Convert to fraction form
   1,002.55/1,525.45 = 1,525.45/x
3. Step 3: Cross multiply
   1,002.55x = 1,525.45 × 1,525.45
4. Step 4: Simplify right side
   1,002.55x = 2,327,009.47
5. Step 5: Solve for x
   x = 2,327,009.47/1,002.55
6. Step 6: Final answer
   x = 2,321.08