Finding the Third Proportional to 33,976 and 45,888

Step by Step Solution

1. Step 1: Write the proportion equation
   33,976 : 45,888 = 45,888 : x
2. Step 2: Convert to fraction form
   33,976/45,888 = 45,888/x
3. Step 3: Cross multiply
   33,976x = 45,888 × 45,888
4. Step 4: Simplify right side
   33,976x = 2,105,708,544
5. Step 5: Solve for x
   x = 2,105,708,544/33,976
6. Step 6: Final answer
   x = 61,976.35