Finding the Third Proportional to 32,290 and 68,036

Step by Step Solution

1. Step 1: Write the proportion equation
   32,290 : 68,036 = 68,036 : x
2. Step 2: Convert to fraction form
   32,290/68,036 = 68,036/x
3. Step 3: Cross multiply
   32,290x = 68,036 × 68,036
4. Step 4: Simplify right side
   32,290x = 4,628,897,296
5. Step 5: Solve for x
   x = 4,628,897,296/32,290
6. Step 6: Final answer
   x = 143,353.90