Finding the Third Proportional to 27,395 and 42,254

Step by Step Solution

1. Step 1: Write the proportion equation
   27,395 : 42,254 = 42,254 : x
2. Step 2: Convert to fraction form
   27,395/42,254 = 42,254/x
3. Step 3: Cross multiply
   27,395x = 42,254 × 42,254
4. Step 4: Simplify right side
   27,395x = 1,785,400,516
5. Step 5: Solve for x
   x = 1,785,400,516/27,395
6. Step 6: Final answer
   x = 65,172.50