Finding the Third Proportional to 40,212 and 57,706

Step by Step Solution

1. Step 1: Write the proportion equation
   40,212 : 57,706 = 57,706 : x
2. Step 2: Convert to fraction form
   40,212/57,706 = 57,706/x
3. Step 3: Cross multiply
   40,212x = 57,706 × 57,706
4. Step 4: Simplify right side
   40,212x = 3,329,982,436
5. Step 5: Solve for x
   x = 3,329,982,436/40,212
6. Step 6: Final answer
   x = 82,810.66