Finding the Third Proportional to 32,976 and 69,885

Step by Step Solution

1. Step 1: Write the proportion equation
   32,976 : 69,885 = 69,885 : x
2. Step 2: Convert to fraction form
   32,976/69,885 = 69,885/x
3. Step 3: Cross multiply
   32,976x = 69,885 × 69,885
4. Step 4: Simplify right side
   32,976x = 4,883,913,225
5. Step 5: Solve for x
   x = 4,883,913,225/32,976
6. Step 6: Final answer
   x = 148,105.08