Finding the Third Proportional to 21,407 and 31,992

Step by Step Solution

1. Step 1: Write the proportion equation
   21,407 : 31,992 = 31,992 : x
2. Step 2: Convert to fraction form
   21,407/31,992 = 31,992/x
3. Step 3: Cross multiply
   21,407x = 31,992 × 31,992
4. Step 4: Simplify right side
   21,407x = 1,023,488,064
5. Step 5: Solve for x
   x = 1,023,488,064/21,407
6. Step 6: Final answer
   x = 47,810.91