Finding the Third Proportional to 21,315 and 31,973

Step by Step Solution

1. Step 1: Write the proportion equation
   21,315 : 31,973 = 31,973 : x
2. Step 2: Convert to fraction form
   21,315/31,973 = 31,973/x
3. Step 3: Cross multiply
   21,315x = 31,973 × 31,973
4. Step 4: Simplify right side
   21,315x = 1,022,272,729
5. Step 5: Solve for x
   x = 1,022,272,729/21,315
6. Step 6: Final answer
   x = 47,960.25