Finding the Third Proportional to 23,212 and 41,816

Step by Step Solution

1. Step 1: Write the proportion equation
   23,212 : 41,816 = 41,816 : x
2. Step 2: Convert to fraction form
   23,212/41,816 = 41,816/x
3. Step 3: Cross multiply
   23,212x = 41,816 × 41,816
4. Step 4: Simplify right side
   23,212x = 1,748,577,856
5. Step 5: Solve for x
   x = 1,748,577,856/23,212
6. Step 6: Final answer
   x = 75,330.77