Finding the Third Proportional to 21,181 and 31,765

Step by Step Solution

1. Step 1: Write the proportion equation
   21,181 : 31,765 = 31,765 : x
2. Step 2: Convert to fraction form
   21,181/31,765 = 31,765/x
3. Step 3: Cross multiply
   21,181x = 31,765 × 31,765
4. Step 4: Simplify right side
   21,181x = 1,009,015,225
5. Step 5: Solve for x
   x = 1,009,015,225/21,181
6. Step 6: Final answer
   x = 47,637.75