Finding the Third Proportional to 10,177.84 and 22,426.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,177.84 : 22,426.24 = 22,426.24 : x
2. Step 2: Convert to fraction form
   10,177.84/22,426.24 = 22,426.24/x
3. Step 3: Cross multiply
   10,177.84x = 22,426.24 × 22,426.24
4. Step 4: Simplify right side
   10,177.84x = 502,936,338.65
5. Step 5: Solve for x
   x = 502,936,338.65/10,177.84
6. Step 6: Final answer
   x = 49,414.84