Finding the Third Proportional to 32,978 and 73,070

Step by Step Solution

1. Step 1: Write the proportion equation
   32,978 : 73,070 = 73,070 : x
2. Step 2: Convert to fraction form
   32,978/73,070 = 73,070/x
3. Step 3: Cross multiply
   32,978x = 73,070 × 73,070
4. Step 4: Simplify right side
   32,978x = 5,339,224,900
5. Step 5: Solve for x
   x = 5,339,224,900/32,978
6. Step 6: Final answer
   x = 161,902.63