Finding the Third Proportional to 27,258 and 42,221

Step by Step Solution

1. Step 1: Write the proportion equation
   27,258 : 42,221 = 42,221 : x
2. Step 2: Convert to fraction form
   27,258/42,221 = 42,221/x
3. Step 3: Cross multiply
   27,258x = 42,221 × 42,221
4. Step 4: Simplify right side
   27,258x = 1,782,612,841
5. Step 5: Solve for x
   x = 1,782,612,841/27,258
6. Step 6: Final answer
   x = 65,397.79