Finding the Third Proportional to 27,080 and 42,034

Step by Step Solution

1. Step 1: Write the proportion equation
   27,080 : 42,034 = 42,034 : x
2. Step 2: Convert to fraction form
   27,080/42,034 = 42,034/x
3. Step 3: Cross multiply
   27,080x = 42,034 × 42,034
4. Step 4: Simplify right side
   27,080x = 1,766,857,156
5. Step 5: Solve for x
   x = 1,766,857,156/27,080
6. Step 6: Final answer
   x = 65,245.83