Finding the Third Proportional to 27,114 and 42,546

Step by Step Solution

1. Step 1: Write the proportion equation
   27,114 : 42,546 = 42,546 : x
2. Step 2: Convert to fraction form
   27,114/42,546 = 42,546/x
3. Step 3: Cross multiply
   27,114x = 42,546 × 42,546
4. Step 4: Simplify right side
   27,114x = 1,810,162,116
5. Step 5: Solve for x
   x = 1,810,162,116/27,114
6. Step 6: Final answer
   x = 66,761.16