Finding the Third Proportional to 2,558 and 3,972.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,558 : 3,972.50 = 3,972.50 : x
2. Step 2: Convert to fraction form
   2,558/3,972.50 = 3,972.50/x
3. Step 3: Cross multiply
   2,558x = 3,972.50 × 3,972.50
4. Step 4: Simplify right side
   2,558x = 15,780,756.25
5. Step 5: Solve for x
   x = 15,780,756.25/2,558
6. Step 6: Final answer
   x = 6,169.18