Finding the Third Proportional to 40,032 and 57,663

Step by Step Solution

1. Step 1: Write the proportion equation
   40,032 : 57,663 = 57,663 : x
2. Step 2: Convert to fraction form
   40,032/57,663 = 57,663/x
3. Step 3: Cross multiply
   40,032x = 57,663 × 57,663
4. Step 4: Simplify right side
   40,032x = 3,325,021,569
5. Step 5: Solve for x
   x = 3,325,021,569/40,032
6. Step 6: Final answer
   x = 83,059.09