Finding the Third Proportional to 31,379 and 47,139

Step by Step Solution

1. Step 1: Write the proportion equation
   31,379 : 47,139 = 47,139 : x
2. Step 2: Convert to fraction form
   31,379/47,139 = 47,139/x
3. Step 3: Cross multiply
   31,379x = 47,139 × 47,139
4. Step 4: Simplify right side
   31,379x = 2,222,085,321
5. Step 5: Solve for x
   x = 2,222,085,321/31,379
6. Step 6: Final answer
   x = 70,814.41