Finding the Third Proportional to 27,342 and 42,167

Step by Step Solution

1. Step 1: Write the proportion equation
   27,342 : 42,167 = 42,167 : x
2. Step 2: Convert to fraction form
   27,342/42,167 = 42,167/x
3. Step 3: Cross multiply
   27,342x = 42,167 × 42,167
4. Step 4: Simplify right side
   27,342x = 1,778,055,889
5. Step 5: Solve for x
   x = 1,778,055,889/27,342
6. Step 6: Final answer
   x = 65,030.21