Finding the Third Proportional to 2,522.50 and 4,168.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,522.50 : 4,168.75 = 4,168.75 : x
2. Step 2: Convert to fraction form
   2,522.50/4,168.75 = 4,168.75/x
3. Step 3: Cross multiply
   2,522.50x = 4,168.75 × 4,168.75
4. Step 4: Simplify right side
   2,522.50x = 17,378,476.56
5. Step 5: Solve for x
   x = 17,378,476.56/2,522.50
6. Step 6: Final answer
   x = 6,889.39