Finding the Third Proportional to 32,172 and 67,848

Step by Step Solution

1. Step 1: Write the proportion equation
   32,172 : 67,848 = 67,848 : x
2. Step 2: Convert to fraction form
   32,172/67,848 = 67,848/x
3. Step 3: Cross multiply
   32,172x = 67,848 × 67,848
4. Step 4: Simplify right side
   32,172x = 4,603,351,104
5. Step 5: Solve for x
   x = 4,603,351,104/32,172
6. Step 6: Final answer
   x = 143,085.64