Finding the Third Proportional to 47,648 and 100,672

Step by Step Solution

1. Step 1: Write the proportion equation
   47,648 : 100,672 = 100,672 : x
2. Step 2: Convert to fraction form
   47,648/100,672 = 100,672/x
3. Step 3: Cross multiply
   47,648x = 100,672 × 100,672
4. Step 4: Simplify right side
   47,648x = 10,134,851,584
5. Step 5: Solve for x
   x = 10,134,851,584/47,648
6. Step 6: Final answer
   x = 212,702.56