Finding the Third Proportional to 14,586.38 and 22,629.56

Step by Step Solution

1. Step 1: Write the proportion equation
   14,586.38 : 22,629.56 = 22,629.56 : x
2. Step 2: Convert to fraction form
   14,586.38/22,629.56 = 22,629.56/x
3. Step 3: Cross multiply
   14,586.38x = 22,629.56 × 22,629.56
4. Step 4: Simplify right side
   14,586.38x = 512,097,098.94
5. Step 5: Solve for x
   x = 512,097,098.94/14,586.38
6. Step 6: Final answer
   x = 35,107.91