Finding the Third Proportional to 40,046 and 57,685

Step by Step Solution

1. Step 1: Write the proportion equation
   40,046 : 57,685 = 57,685 : x
2. Step 2: Convert to fraction form
   40,046/57,685 = 57,685/x
3. Step 3: Cross multiply
   40,046x = 57,685 × 57,685
4. Step 4: Simplify right side
   40,046x = 3,327,559,225
5. Step 5: Solve for x
   x = 3,327,559,225/40,046
6. Step 6: Final answer
   x = 83,093.42