Finding the Third Proportional to 13,506.75 and 31,974.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,506.75 : 31,974.75 = 31,974.75 : x
2. Step 2: Convert to fraction form
   13,506.75/31,974.75 = 31,974.75/x
3. Step 3: Cross multiply
   13,506.75x = 31,974.75 × 31,974.75
4. Step 4: Simplify right side
   13,506.75x = 1,022,384,637.56
5. Step 5: Solve for x
   x = 1,022,384,637.56/13,506.75
6. Step 6: Final answer
   x = 75,694.35