Finding the Third Proportional to 34,633 and 74,802

Step by Step Solution

1. Step 1: Write the proportion equation
   34,633 : 74,802 = 74,802 : x
2. Step 2: Convert to fraction form
   34,633/74,802 = 74,802/x
3. Step 3: Cross multiply
   34,633x = 74,802 × 74,802
4. Step 4: Simplify right side
   34,633x = 5,595,339,204
5. Step 5: Solve for x
   x = 5,595,339,204/34,633
6. Step 6: Final answer
   x = 161,560.92