Finding the Third Proportional to 34,636 and 73,880

Step by Step Solution

1. Step 1: Write the proportion equation
   34,636 : 73,880 = 73,880 : x
2. Step 2: Convert to fraction form
   34,636/73,880 = 73,880/x
3. Step 3: Cross multiply
   34,636x = 73,880 × 73,880
4. Step 4: Simplify right side
   34,636x = 5,458,254,400
5. Step 5: Solve for x
   x = 5,458,254,400/34,636
6. Step 6: Final answer
   x = 157,589.05