Finding the Third Proportional to 4,946.80 and 10,585.56

Step by Step Solution

1. Step 1: Write the proportion equation
   4,946.80 : 10,585.56 = 10,585.56 : x
2. Step 2: Convert to fraction form
   4,946.80/10,585.56 = 10,585.56/x
3. Step 3: Cross multiply
   4,946.80x = 10,585.56 × 10,585.56
4. Step 4: Simplify right side
   4,946.80x = 112,053,988.72
5. Step 5: Solve for x
   x = 112,053,988.72/4,946.80
6. Step 6: Final answer
   x = 22,651.81