Finding the Third Proportional to 31,961.25 and 47,759.63

Step by Step Solution

1. Step 1: Write the proportion equation
   31,961.25 : 47,759.63 = 47,759.63 : x
2. Step 2: Convert to fraction form
   31,961.25/47,759.63 = 47,759.63/x
3. Step 3: Cross multiply
   31,961.25x = 47,759.63 × 47,759.63
4. Step 4: Simplify right side
   31,961.25x = 2,280,981,780.14
5. Step 5: Solve for x
   x = 2,280,981,780.14/31,961.25
6. Step 6: Final answer
   x = 71,367.10