Finding the Third Proportional to 32,097 and 69,270

Step by Step Solution

1. Step 1: Write the proportion equation
   32,097 : 69,270 = 69,270 : x
2. Step 2: Convert to fraction form
   32,097/69,270 = 69,270/x
3. Step 3: Cross multiply
   32,097x = 69,270 × 69,270
4. Step 4: Simplify right side
   32,097x = 4,798,332,900
5. Step 5: Solve for x
   x = 4,798,332,900/32,097
6. Step 6: Final answer
   x = 149,494.75