Finding the Third Proportional to 31,682.25 and 68,591.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31,682.25 : 68,591.25 = 68,591.25 : x
2. Step 2: Convert to fraction form
   31,682.25/68,591.25 = 68,591.25/x
3. Step 3: Cross multiply
   31,682.25x = 68,591.25 × 68,591.25
4. Step 4: Simplify right side
   31,682.25x = 4,704,759,576.56
5. Step 5: Solve for x
   x = 4,704,759,576.56/31,682.25
6. Step 6: Final answer
   x = 148,498.28