Finding the Third Proportional to 32,354 and 69,676

Step by Step Solution

1. Step 1: Write the proportion equation
   32,354 : 69,676 = 69,676 : x
2. Step 2: Convert to fraction form
   32,354/69,676 = 69,676/x
3. Step 3: Cross multiply
   32,354x = 69,676 × 69,676
4. Step 4: Simplify right side
   32,354x = 4,854,744,976
5. Step 5: Solve for x
   x = 4,854,744,976/32,354
6. Step 6: Final answer
   x = 150,050.84