Finding the Third Proportional to 31,369 and 47,049

Step by Step Solution

1. Step 1: Write the proportion equation
   31,369 : 47,049 = 47,049 : x
2. Step 2: Convert to fraction form
   31,369/47,049 = 47,049/x
3. Step 3: Cross multiply
   31,369x = 47,049 × 47,049
4. Step 4: Simplify right side
   31,369x = 2,213,608,401
5. Step 5: Solve for x
   x = 2,213,608,401/31,369
6. Step 6: Final answer
   x = 70,566.75