Finding the Third Proportional to 31,961 and 47,759.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,961 : 47,759.50 = 47,759.50 : x
2. Step 2: Convert to fraction form
   31,961/47,759.50 = 47,759.50/x
3. Step 3: Cross multiply
   31,961x = 47,759.50 × 47,759.50
4. Step 4: Simplify right side
   31,961x = 2,280,969,840.25
5. Step 5: Solve for x
   x = 2,280,969,840.25/31,961
6. Step 6: Final answer
   x = 71,367.29