Finding the Third Proportional to 34,128 and 72,672

Step by Step Solution

1. Step 1: Write the proportion equation
   34,128 : 72,672 = 72,672 : x
2. Step 2: Convert to fraction form
   34,128/72,672 = 72,672/x
3. Step 3: Cross multiply
   34,128x = 72,672 × 72,672
4. Step 4: Simplify right side
   34,128x = 5,281,219,584
5. Step 5: Solve for x
   x = 5,281,219,584/34,128
6. Step 6: Final answer
   x = 154,747.41