Finding the Third Proportional to 31,182 and 47,274

Step by Step Solution

1. Step 1: Write the proportion equation
   31,182 : 47,274 = 47,274 : x
2. Step 2: Convert to fraction form
   31,182/47,274 = 47,274/x
3. Step 3: Cross multiply
   31,182x = 47,274 × 47,274
4. Step 4: Simplify right side
   31,182x = 2,234,831,076
5. Step 5: Solve for x
   x = 2,234,831,076/31,182
6. Step 6: Final answer
   x = 71,670.55