Finding the Third Proportional to 34,637 and 74,801

Step by Step Solution

1. Step 1: Write the proportion equation
   34,637 : 74,801 = 74,801 : x
2. Step 2: Convert to fraction form
   34,637/74,801 = 74,801/x
3. Step 3: Cross multiply
   34,637x = 74,801 × 74,801
4. Step 4: Simplify right side
   34,637x = 5,595,189,601
5. Step 5: Solve for x
   x = 5,595,189,601/34,637
6. Step 6: Final answer
   x = 161,537.94