Finding the Third Proportional to 31,102 and 47,834

Step by Step Solution

1. Step 1: Write the proportion equation
   31,102 : 47,834 = 47,834 : x
2. Step 2: Convert to fraction form
   31,102/47,834 = 47,834/x
3. Step 3: Cross multiply
   31,102x = 47,834 × 47,834
4. Step 4: Simplify right side
   31,102x = 2,288,091,556
5. Step 5: Solve for x
   x = 2,288,091,556/31,102
6. Step 6: Final answer
   x = 73,567.34