Finding the Third Proportional to 32,980 and 73,342

Step by Step Solution

1. Step 1: Write the proportion equation
   32,980 : 73,342 = 73,342 : x
2. Step 2: Convert to fraction form
   32,980/73,342 = 73,342/x
3. Step 3: Cross multiply
   32,980x = 73,342 × 73,342
4. Step 4: Simplify right side
   32,980x = 5,379,048,964
5. Step 5: Solve for x
   x = 5,379,048,964/32,980
6. Step 6: Final answer
   x = 163,100.33