Finding the Third Proportional to 32,097 and 74,994

Step by Step Solution

1. Step 1: Write the proportion equation
   32,097 : 74,994 = 74,994 : x
2. Step 2: Convert to fraction form
   32,097/74,994 = 74,994/x
3. Step 3: Cross multiply
   32,097x = 74,994 × 74,994
4. Step 4: Simplify right side
   32,097x = 5,624,100,036
5. Step 5: Solve for x
   x = 5,624,100,036/32,097
6. Step 6: Final answer
   x = 175,221.98