Finding the Third Proportional to 40,212 and 57,705.75

Step by Step Solution

1. Step 1: Write the proportion equation
   40,212 : 57,705.75 = 57,705.75 : x
2. Step 2: Convert to fraction form
   40,212/57,705.75 = 57,705.75/x
3. Step 3: Cross multiply
   40,212x = 57,705.75 × 57,705.75
4. Step 4: Simplify right side
   40,212x = 3,329,953,583.06
5. Step 5: Solve for x
   x = 3,329,953,583.06/40,212
6. Step 6: Final answer
   x = 82,809.95