Finding the Third Proportional to 32,667 and 69,258

Step by Step Solution

1. Step 1: Write the proportion equation
   32,667 : 69,258 = 69,258 : x
2. Step 2: Convert to fraction form
   32,667/69,258 = 69,258/x
3. Step 3: Cross multiply
   32,667x = 69,258 × 69,258
4. Step 4: Simplify right side
   32,667x = 4,796,670,564
5. Step 5: Solve for x
   x = 4,796,670,564/32,667
6. Step 6: Final answer
   x = 146,835.36