Finding the Third Proportional to 21,754 and 31,407

Step by Step Solution

1. Step 1: Write the proportion equation
   21,754 : 31,407 = 31,407 : x
2. Step 2: Convert to fraction form
   21,754/31,407 = 31,407/x
3. Step 3: Cross multiply
   21,754x = 31,407 × 31,407
4. Step 4: Simplify right side
   21,754x = 986,399,649
5. Step 5: Solve for x
   x = 986,399,649/21,754
6. Step 6: Final answer
   x = 45,343.37