Finding the Third Proportional to 2,531.25 and 3,645

Step by Step Solution

1. Step 1: Write the proportion equation
   2,531.25 : 3,645 = 3,645 : x
2. Step 2: Convert to fraction form
   2,531.25/3,645 = 3,645/x
3. Step 3: Cross multiply
   2,531.25x = 3,645 × 3,645
4. Step 4: Simplify right side
   2,531.25x = 13,286,025
5. Step 5: Solve for x
   x = 13,286,025/2,531.25
6. Step 6: Final answer
   x = 5,248.80