Finding the Third Proportional to 4,926.94 and 10,546.31

Step by Step Solution

1. Step 1: Write the proportion equation
   4,926.94 : 10,546.31 = 10,546.31 : x
2. Step 2: Convert to fraction form
   4,926.94/10,546.31 = 10,546.31/x
3. Step 3: Cross multiply
   4,926.94x = 10,546.31 × 10,546.31
4. Step 4: Simplify right side
   4,926.94x = 111,224,707.35
5. Step 5: Solve for x
   x = 111,224,707.35/4,926.94
6. Step 6: Final answer
   x = 22,574.82