Finding the Third Proportional to 32,270 and 69,643

Step by Step Solution

1. Step 1: Write the proportion equation
   32,270 : 69,643 = 69,643 : x
2. Step 2: Convert to fraction form
   32,270/69,643 = 69,643/x
3. Step 3: Cross multiply
   32,270x = 69,643 × 69,643
4. Step 4: Simplify right side
   32,270x = 4,850,147,449
5. Step 5: Solve for x
   x = 4,850,147,449/32,270
6. Step 6: Final answer
   x = 150,298.96