Finding the Third Proportional to 2,222.50 and 4,094

Step by Step Solution

1. Step 1: Write the proportion equation
   2,222.50 : 4,094 = 4,094 : x
2. Step 2: Convert to fraction form
   2,222.50/4,094 = 4,094/x
3. Step 3: Cross multiply
   2,222.50x = 4,094 × 4,094
4. Step 4: Simplify right side
   2,222.50x = 16,760,836
5. Step 5: Solve for x
   x = 16,760,836/2,222.50
6. Step 6: Final answer
   x = 7,541.43