Finding the Third Proportional to 31,698 and 47,055

Step by Step Solution

1. Step 1: Write the proportion equation
   31,698 : 47,055 = 47,055 : x
2. Step 2: Convert to fraction form
   31,698/47,055 = 47,055/x
3. Step 3: Cross multiply
   31,698x = 47,055 × 47,055
4. Step 4: Simplify right side
   31,698x = 2,214,173,025
5. Step 5: Solve for x
   x = 2,214,173,025/31,698
6. Step 6: Final answer
   x = 69,852.14