Finding the Third Proportional to 32,216 and 67,952

Step by Step Solution

1. Step 1: Write the proportion equation
   32,216 : 67,952 = 67,952 : x
2. Step 2: Convert to fraction form
   32,216/67,952 = 67,952/x
3. Step 3: Cross multiply
   32,216x = 67,952 × 67,952
4. Step 4: Simplify right side
   32,216x = 4,617,474,304
5. Step 5: Solve for x
   x = 4,617,474,304/32,216
6. Step 6: Final answer
   x = 143,328.60