Finding the Third Proportional to 21,462 and 31,221

Step by Step Solution

1. Step 1: Write the proportion equation
   21,462 : 31,221 = 31,221 : x
2. Step 2: Convert to fraction form
   21,462/31,221 = 31,221/x
3. Step 3: Cross multiply
   21,462x = 31,221 × 31,221
4. Step 4: Simplify right side
   21,462x = 974,750,841
5. Step 5: Solve for x
   x = 974,750,841/21,462
6. Step 6: Final answer
   x = 45,417.52