Finding the Third Proportional to 34,040 and 74,799

Step by Step Solution

1. Step 1: Write the proportion equation
   34,040 : 74,799 = 74,799 : x
2. Step 2: Convert to fraction form
   34,040/74,799 = 74,799/x
3. Step 3: Cross multiply
   34,040x = 74,799 × 74,799
4. Step 4: Simplify right side
   34,040x = 5,594,890,401
5. Step 5: Solve for x
   x = 5,594,890,401/34,040
6. Step 6: Final answer
   x = 164,362.23