Finding the Third Proportional to 31,984 and 47,112

Step by Step Solution

1. Step 1: Write the proportion equation
   31,984 : 47,112 = 47,112 : x
2. Step 2: Convert to fraction form
   31,984/47,112 = 47,112/x
3. Step 3: Cross multiply
   31,984x = 47,112 × 47,112
4. Step 4: Simplify right side
   31,984x = 2,219,540,544
5. Step 5: Solve for x
   x = 2,219,540,544/31,984
6. Step 6: Final answer
   x = 69,395.34