Finding the Third Proportional to 2,538.84 and 3,652.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.84 : 3,652.59 = 3,652.59 : x
2. Step 2: Convert to fraction form
   2,538.84/3,652.59 = 3,652.59/x
3. Step 3: Cross multiply
   2,538.84x = 3,652.59 × 3,652.59
4. Step 4: Simplify right side
   2,538.84x = 13,341,441.10
5. Step 5: Solve for x
   x = 13,341,441.10/2,538.84
6. Step 6: Final answer
   x = 5,254.93