Finding the Third Proportional to 31,706 and 47,460

Step by Step Solution

1. Step 1: Write the proportion equation
   31,706 : 47,460 = 47,460 : x
2. Step 2: Convert to fraction form
   31,706/47,460 = 47,460/x
3. Step 3: Cross multiply
   31,706x = 47,460 × 47,460
4. Step 4: Simplify right side
   31,706x = 2,252,451,600
5. Step 5: Solve for x
   x = 2,252,451,600/31,706
6. Step 6: Final answer
   x = 71,041.81