Finding the Third Proportional to 27,197 and 42,026

Step by Step Solution

1. Step 1: Write the proportion equation
   27,197 : 42,026 = 42,026 : x
2. Step 2: Convert to fraction form
   27,197/42,026 = 42,026/x
3. Step 3: Cross multiply
   27,197x = 42,026 × 42,026
4. Step 4: Simplify right side
   27,197x = 1,766,184,676
5. Step 5: Solve for x
   x = 1,766,184,676/27,197
6. Step 6: Final answer
   x = 64,940.42