Finding the Third Proportional to 27,922 and 41,046

Step by Step Solution

1. Step 1: Write the proportion equation
   27,922 : 41,046 = 41,046 : x
2. Step 2: Convert to fraction form
   27,922/41,046 = 41,046/x
3. Step 3: Cross multiply
   27,922x = 41,046 × 41,046
4. Step 4: Simplify right side
   27,922x = 1,684,774,116
5. Step 5: Solve for x
   x = 1,684,774,116/27,922
6. Step 6: Final answer
   x = 60,338.59