Finding the Third Proportional to 2,946 and 5,446.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,946 : 5,446.50 = 5,446.50 : x
2. Step 2: Convert to fraction form
   2,946/5,446.50 = 5,446.50/x
3. Step 3: Cross multiply
   2,946x = 5,446.50 × 5,446.50
4. Step 4: Simplify right side
   2,946x = 29,664,362.25
5. Step 5: Solve for x
   x = 29,664,362.25/2,946
6. Step 6: Final answer
   x = 10,069.37