Finding the Third Proportional to 2,538.84 and 4,600.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.84 : 4,600.55 = 4,600.55 : x
2. Step 2: Convert to fraction form
   2,538.84/4,600.55 = 4,600.55/x
3. Step 3: Cross multiply
   2,538.84x = 4,600.55 × 4,600.55
4. Step 4: Simplify right side
   2,538.84x = 21,165,031.55
5. Step 5: Solve for x
   x = 21,165,031.55/2,538.84
6. Step 6: Final answer
   x = 8,336.48