Finding the Third Proportional to 34,627 and 74,789

Step by Step Solution

1. Step 1: Write the proportion equation
   34,627 : 74,789 = 74,789 : x
2. Step 2: Convert to fraction form
   34,627/74,789 = 74,789/x
3. Step 3: Cross multiply
   34,627x = 74,789 × 74,789
4. Step 4: Simplify right side
   34,627x = 5,593,394,521
5. Step 5: Solve for x
   x = 5,593,394,521/34,627
6. Step 6: Final answer
   x = 161,532.75