Finding the Third Proportional to 34,540 and 75,642

Step by Step Solution

1. Step 1: Write the proportion equation
   34,540 : 75,642 = 75,642 : x
2. Step 2: Convert to fraction form
   34,540/75,642 = 75,642/x
3. Step 3: Cross multiply
   34,540x = 75,642 × 75,642
4. Step 4: Simplify right side
   34,540x = 5,721,712,164
5. Step 5: Solve for x
   x = 5,721,712,164/34,540
6. Step 6: Final answer
   x = 165,654.67