Finding the Third Proportional to 40,734.75 and 57,684

Step by Step Solution

1. Step 1: Write the proportion equation
   40,734.75 : 57,684 = 57,684 : x
2. Step 2: Convert to fraction form
   40,734.75/57,684 = 57,684/x
3. Step 3: Cross multiply
   40,734.75x = 57,684 × 57,684
4. Step 4: Simplify right side
   40,734.75x = 3,327,443,856
5. Step 5: Solve for x
   x = 3,327,443,856/40,734.75
6. Step 6: Final answer
   x = 81,685.63