Finding the Third Proportional to 2,946.94 and 4,522.92

Step by Step Solution

1. Step 1: Write the proportion equation
   2,946.94 : 4,522.92 = 4,522.92 : x
2. Step 2: Convert to fraction form
   2,946.94/4,522.92 = 4,522.92/x
3. Step 3: Cross multiply
   2,946.94x = 4,522.92 × 4,522.92
4. Step 4: Simplify right side
   2,946.94x = 20,456,822.29
5. Step 5: Solve for x
   x = 20,456,822.29/2,946.94
6. Step 6: Final answer
   x = 6,941.72