Finding the Third Proportional to 27,340 and 42,164

Step by Step Solution

1. Step 1: Write the proportion equation
   27,340 : 42,164 = 42,164 : x
2. Step 2: Convert to fraction form
   27,340/42,164 = 42,164/x
3. Step 3: Cross multiply
   27,340x = 42,164 × 42,164
4. Step 4: Simplify right side
   27,340x = 1,777,802,896
5. Step 5: Solve for x
   x = 1,777,802,896/27,340
6. Step 6: Final answer
   x = 65,025.71