Finding the Third Proportional to 31,540 and 47,094

Step by Step Solution

1. Step 1: Write the proportion equation
   31,540 : 47,094 = 47,094 : x
2. Step 2: Convert to fraction form
   31,540/47,094 = 47,094/x
3. Step 3: Cross multiply
   31,540x = 47,094 × 47,094
4. Step 4: Simplify right side
   31,540x = 2,217,844,836
5. Step 5: Solve for x
   x = 2,217,844,836/31,540
6. Step 6: Final answer
   x = 70,318.48