Finding the Third Proportional to 47,672 and 71,256

Step by Step Solution

1. Step 1: Write the proportion equation
   47,672 : 71,256 = 71,256 : x
2. Step 2: Convert to fraction form
   47,672/71,256 = 71,256/x
3. Step 3: Cross multiply
   47,672x = 71,256 × 71,256
4. Step 4: Simplify right side
   47,672x = 5,077,417,536
5. Step 5: Solve for x
   x = 5,077,417,536/47,672
6. Step 6: Final answer
   x = 106,507.33