Finding the Third Proportional to 2,539.88 and 3,620.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,539.88 : 3,620.63 = 3,620.63 : x
2. Step 2: Convert to fraction form
   2,539.88/3,620.63 = 3,620.63/x
3. Step 3: Cross multiply
   2,539.88x = 3,620.63 × 3,620.63
4. Step 4: Simplify right side
   2,539.88x = 13,108,925.39
5. Step 5: Solve for x
   x = 13,108,925.39/2,539.88
6. Step 6: Final answer
   x = 5,161.25