Finding the Third Proportional to 34,744 and 74,894

Step by Step Solution

1. Step 1: Write the proportion equation
   34,744 : 74,894 = 74,894 : x
2. Step 2: Convert to fraction form
   34,744/74,894 = 74,894/x
3. Step 3: Cross multiply
   34,744x = 74,894 × 74,894
4. Step 4: Simplify right side
   34,744x = 5,609,111,236
5. Step 5: Solve for x
   x = 5,609,111,236/34,744
6. Step 6: Final answer
   x = 161,441.15