Finding the Third Proportional to 31,635 and 47,380

Step by Step Solution

1. Step 1: Write the proportion equation
   31,635 : 47,380 = 47,380 : x
2. Step 2: Convert to fraction form
   31,635/47,380 = 47,380/x
3. Step 3: Cross multiply
   31,635x = 47,380 × 47,380
4. Step 4: Simplify right side
   31,635x = 2,244,864,400
5. Step 5: Solve for x
   x = 2,244,864,400/31,635
6. Step 6: Final answer
   x = 70,961.42