Finding the Third Proportional to 34,636 and 73,878

Step by Step Solution

1. Step 1: Write the proportion equation
   34,636 : 73,878 = 73,878 : x
2. Step 2: Convert to fraction form
   34,636/73,878 = 73,878/x
3. Step 3: Cross multiply
   34,636x = 73,878 × 73,878
4. Step 4: Simplify right side
   34,636x = 5,457,958,884
5. Step 5: Solve for x
   x = 5,457,958,884/34,636
6. Step 6: Final answer
   x = 157,580.52