Finding the Third Proportional to 34,628 and 75,736

Step by Step Solution

1. Step 1: Write the proportion equation
   34,628 : 75,736 = 75,736 : x
2. Step 2: Convert to fraction form
   34,628/75,736 = 75,736/x
3. Step 3: Cross multiply
   34,628x = 75,736 × 75,736
4. Step 4: Simplify right side
   34,628x = 5,735,941,696
5. Step 5: Solve for x
   x = 5,735,941,696/34,628
6. Step 6: Final answer
   x = 165,644.61