Finding the Third Proportional to 34,711 and 74,443

Step by Step Solution

1. Step 1: Write the proportion equation
   34,711 : 74,443 = 74,443 : x
2. Step 2: Convert to fraction form
   34,711/74,443 = 74,443/x
3. Step 3: Cross multiply
   34,711x = 74,443 × 74,443
4. Step 4: Simplify right side
   34,711x = 5,541,760,249
5. Step 5: Solve for x
   x = 5,541,760,249/34,711
6. Step 6: Final answer
   x = 159,654.30