Finding the Third Proportional to 34,657 and 73,404

Step by Step Solution

1. Step 1: Write the proportion equation
   34,657 : 73,404 = 73,404 : x
2. Step 2: Convert to fraction form
   34,657/73,404 = 73,404/x
3. Step 3: Cross multiply
   34,657x = 73,404 × 73,404
4. Step 4: Simplify right side
   34,657x = 5,388,147,216
5. Step 5: Solve for x
   x = 5,388,147,216/34,657
6. Step 6: Final answer
   x = 155,470.68