Finding the Third Proportional to 45,904 and 72,816

Step by Step Solution

1. Step 1: Write the proportion equation
   45,904 : 72,816 = 72,816 : x
2. Step 2: Convert to fraction form
   45,904/72,816 = 72,816/x
3. Step 3: Cross multiply
   45,904x = 72,816 × 72,816
4. Step 4: Simplify right side
   45,904x = 5,302,169,856
5. Step 5: Solve for x
   x = 5,302,169,856/45,904
6. Step 6: Final answer
   x = 115,505.62