Finding the Third Proportional to 2,255.34 and 4,946.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,255.34 : 4,946.06 = 4,946.06 : x
2. Step 2: Convert to fraction form
   2,255.34/4,946.06 = 4,946.06/x
3. Step 3: Cross multiply
   2,255.34x = 4,946.06 × 4,946.06
4. Step 4: Simplify right side
   2,255.34x = 24,463,534.25
5. Step 5: Solve for x
   x = 24,463,534.25/2,255.34
6. Step 6: Final answer
   x = 10,846.92