Finding the Third Proportional to 2,179 and 2,942.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,179 : 2,942.50 = 2,942.50 : x
2. Step 2: Convert to fraction form
   2,179/2,942.50 = 2,942.50/x
3. Step 3: Cross multiply
   2,179x = 2,942.50 × 2,942.50
4. Step 4: Simplify right side
   2,179x = 8,658,306.25
5. Step 5: Solve for x
   x = 8,658,306.25/2,179
6. Step 6: Final answer
   x = 3,973.52