Finding the Third Proportional to 71,874 and 108,810

Step by Step Solution

1. Step 1: Write the proportion equation
   71,874 : 108,810 = 108,810 : x
2. Step 2: Convert to fraction form
   71,874/108,810 = 108,810/x
3. Step 3: Cross multiply
   71,874x = 108,810 × 108,810
4. Step 4: Simplify right side
   71,874x = 11,839,616,100
5. Step 5: Solve for x
   x = 11,839,616,100/71,874
6. Step 6: Final answer
   x = 164,727.39