Finding the Third Proportional to 32,738 and 71,848

Step by Step Solution

1. Step 1: Write the proportion equation
   32,738 : 71,848 = 71,848 : x
2. Step 2: Convert to fraction form
   32,738/71,848 = 71,848/x
3. Step 3: Cross multiply
   32,738x = 71,848 × 71,848
4. Step 4: Simplify right side
   32,738x = 5,162,135,104
5. Step 5: Solve for x
   x = 5,162,135,104/32,738
6. Step 6: Final answer
   x = 157,680.22