Finding the Third Proportional to 31,102 and 41,816

Step by Step Solution

1. Step 1: Write the proportion equation
   31,102 : 41,816 = 41,816 : x
2. Step 2: Convert to fraction form
   31,102/41,816 = 41,816/x
3. Step 3: Cross multiply
   31,102x = 41,816 × 41,816
4. Step 4: Simplify right side
   31,102x = 1,748,577,856
5. Step 5: Solve for x
   x = 1,748,577,856/31,102
6. Step 6: Final answer
   x = 56,220.75