Finding the Third Proportional to 40,201 and 59,096

Step by Step Solution

1. Step 1: Write the proportion equation
   40,201 : 59,096 = 59,096 : x
2. Step 2: Convert to fraction form
   40,201/59,096 = 59,096/x
3. Step 3: Cross multiply
   40,201x = 59,096 × 59,096
4. Step 4: Simplify right side
   40,201x = 3,492,337,216
5. Step 5: Solve for x
   x = 3,492,337,216/40,201
6. Step 6: Final answer
   x = 86,871.90