Finding the Third Proportional to 31,594.50 and 49,286.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31,594.50 : 49,286.25 = 49,286.25 : x
2. Step 2: Convert to fraction form
   31,594.50/49,286.25 = 49,286.25/x
3. Step 3: Cross multiply
   31,594.50x = 49,286.25 × 49,286.25
4. Step 4: Simplify right side
   31,594.50x = 2,429,134,439.06
5. Step 5: Solve for x
   x = 2,429,134,439.06/31,594.50
6. Step 6: Final answer
   x = 76,884.72