Finding the Third Proportional to 2,562.50 and 4,242

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.50 : 4,242 = 4,242 : x
2. Step 2: Convert to fraction form
   2,562.50/4,242 = 4,242/x
3. Step 3: Cross multiply
   2,562.50x = 4,242 × 4,242
4. Step 4: Simplify right side
   2,562.50x = 17,994,564
5. Step 5: Solve for x
   x = 17,994,564/2,562.50
6. Step 6: Final answer
   x = 7,022.27