Finding the Third Proportional to 34,743 and 74,845

Step by Step Solution

1. Step 1: Write the proportion equation
   34,743 : 74,845 = 74,845 : x
2. Step 2: Convert to fraction form
   34,743/74,845 = 74,845/x
3. Step 3: Cross multiply
   34,743x = 74,845 × 74,845
4. Step 4: Simplify right side
   34,743x = 5,601,774,025
5. Step 5: Solve for x
   x = 5,601,774,025/34,743
6. Step 6: Final answer
   x = 161,234.61