Finding the Third Proportional to 32,546 and 67,036

Step by Step Solution

1. Step 1: Write the proportion equation
   32,546 : 67,036 = 67,036 : x
2. Step 2: Convert to fraction form
   32,546/67,036 = 67,036/x
3. Step 3: Cross multiply
   32,546x = 67,036 × 67,036
4. Step 4: Simplify right side
   32,546x = 4,493,825,296
5. Step 5: Solve for x
   x = 4,493,825,296/32,546
6. Step 6: Final answer
   x = 138,076.12