Finding the Third Proportional to 31,704.75 and 41,698.13

Step by Step Solution

1. Step 1: Write the proportion equation
   31,704.75 : 41,698.13 = 41,698.13 : x
2. Step 2: Convert to fraction form
   31,704.75/41,698.13 = 41,698.13/x
3. Step 3: Cross multiply
   31,704.75x = 41,698.13 × 41,698.13
4. Step 4: Simplify right side
   31,704.75x = 1,738,733,628.52
5. Step 5: Solve for x
   x = 1,738,733,628.52/31,704.75
6. Step 6: Final answer
   x = 54,841.42