Finding the Third Proportional to 32,769 and 69,456

Step by Step Solution

1. Step 1: Write the proportion equation
   32,769 : 69,456 = 69,456 : x
2. Step 2: Convert to fraction form
   32,769/69,456 = 69,456/x
3. Step 3: Cross multiply
   32,769x = 69,456 × 69,456
4. Step 4: Simplify right side
   32,769x = 4,824,135,936
5. Step 5: Solve for x
   x = 4,824,135,936/32,769
6. Step 6: Final answer
   x = 147,216.45