Finding the Third Proportional to 31,419 and 47,196

Step by Step Solution

1. Step 1: Write the proportion equation
   31,419 : 47,196 = 47,196 : x
2. Step 2: Convert to fraction form
   31,419/47,196 = 47,196/x
3. Step 3: Cross multiply
   31,419x = 47,196 × 47,196
4. Step 4: Simplify right side
   31,419x = 2,227,462,416
5. Step 5: Solve for x
   x = 2,227,462,416/31,419
6. Step 6: Final answer
   x = 70,895.40